Curriculum Vitae

 

 

Waldyr A. Rodrigues Jr.


 

 

June 2011


 

 

 

 

 

 

 

 PERSONAL DATA

 

Name: Waldyr Alves Rodrigues Jr.

Status: married, five childreen

born: 03/14/1946 at Araraquara, SP,  Brazil

      contact:      e-mail: walrod@ime.unicamp.br or walrod@mpc.com.br

                       

 

 

TITLES

 

B. Sc. Physics, University of São Paulo (USP), São Paulo, SP, Brazil, 1968.

Ph.D. Physics, University of Torino, Italy, 1971.

Full Professor of Mathematical Physics, State University of Campinas (UNICAMP), Campinas, SP, Brazil, 1986.

 

 

PRESENT POSITIONS:

 

·         Invited Professor at the Institute of Mathematics, Statistics and Scientific Computation, IMECC-UNICAMP.

·         Chairman Telesio-Galilei Academy of Science

·         Editor-in-Chief of the Birkhäuser-Springer journal: Advances in Applied Clifford  Algebras

·         Deputy Coordinator, Center CAIROS (Clifford Algebra International Research Open Studies), Laboratoire de Mathématiques Emile Picard, Institut de Mathématiques de Toulose, Université Paul Sabatier.

 

 

 

 

SOME PAST POSITIONS

 

·        Director of the Institute of Mathematics, Statistics and Scientific Computation, State University of Campinas (IMECC-UNICAMP), 1994-1998.

·        Vice President of the Foundation for the Development of UNICAMP (FUNCAMP), 1998-2000.

·        Dean of Graduate Studies in Applied Mathematics, IMECC-UNICAMP, 1998-1999.

·        Full Professor of Mathematical Physics, IMECC-UNICAMP, 1986. Retired, at November 1999.

·        Visiting Scientist at MIT (USA), 1976-1978.

·        Visiting Scientist at CERN-Geneve, 1979.

·        Visiting Professor, University of Trento, Italy, 1987/1988.

·        Visiting Professor, University of Perugia, Italy, 1999.

·       Visiting Professor, Department of Mathematical Sciences, Univ. Liverpool, UK, 08/2001-02/2002.

 

 

 

GRANTS

 

 FAPESP            06/1967 ‑ 12/1968 - Scientific Initiation.

 FAPESP            04/1969 ‑ 06/1969 ‑ Research

 FAPESP            01/1970 ‑ 12/1971 -Ph.D. fellowship

 INFN                Itália:  Participation at the International School of Sub-Nuclear Physics Ettore Majorana 07/1971, Erice, Sicilia.

 CNPq                1973 TC 16.626, US$ 50.000

 CNPq                1973 TC 12.323 , US$ 50.000

 CNPq                1974 TC 17.143, US$ 100.000

 FAPESP            07/1976 ‑ 01/1978 - Pos-Doc Fellowship (MIT ‑ USA)

 CNPq                03/1979 ‑ 06/1979 - fellowship CERN/CNPq

 CNPq                1980 - senior research fellowship

 CNPq                1981 - senior research fellowship

 ICTP                1981 - fellowship to participate at the “Spring School and Workshop on on Supegravity’’ (22 April ‑ 06 May 1981)

 IILA/CNR         (Itália) ‑ 1982 – research fellowship, Univ. Catania, Catania, Italy

 CNPq                1982 ‑ senior research fellowship

 CNPq                1983 ‑ senior research fellowship

 CNPq                1984 ‑ senior research fellowship

 CNPq                1985 ‑ senior research fellowship

 CNPq                1986 ‑ senior research fellowship

 CNR (Itália)      1987 - research fellowship, Univ. Trento, Italy

 CNPq                1987 ‑ senior research fellowship

 CNPq                1988 ‑ 1989 ‑ senior research fellowship

 FAPESP            01/01/88 ‑ 30/10/88 – senior research fellowship to do research at the University of Trento, Italy

 FAPESP            September/89 - grant to participate at a meeting at London

 CNPq                1989 ‑ senior research fellowship

 FAPESP            1990 - grant for a two months visit of  Prof. J. F. Pommaret at IMECC

 CNPq                1990 ‑ senior research fellowship

 CNPq                1991- senior research fellowship

 CNPq                1992 - grant for acquisition of a Sun Workstation

 CNPq                1992 ‑1993 senior research fellowship

 FAEP                1992 - personal computer

 CNPq               1993 - grant to participate at the  III Workshop on Clifford Algebras and their Applications in Mathematical Physics, Deinze, Belgium, May 1993.

 CNPq                1994 ‑1995 senior research fellowship

 CNPq               1994 – grant for a nine months visit  of  Prof. Matej Pavsic

 FAPESP           1994 – grant for visit of Prof. Matej Pavsic (air thickets)

 CNPq               1994 – grant for a visit of Prof. Andrey Grib- US$ 50,000

 FAPESP            1995 – grant for acquisition of computational equipments (US$ 60,000)

FAPESP             1995 – grant for a two months visit of Prof. Ian R. Porteous at IMECC- US$ 10,400

FAPESP             1996 – grant for a six months visit of Prof. A .A .Grib - US$ 26,200

FAPESP            1996 – research grant for several projects at IMECC-UNICAMP - US$ 120,000

CNPq                 1996 - senior research fellowship

FAPESP             1997 – research grant for several projects at IMECC-UNICAMP - US$ 150,000

CNPq               1998 - senior research fellowship

FAPESP            1998- grant for a ten months visit of Prof. Andrey Grib- US$ 34,400

CNPq/ TWAS    2000- grant for a three months visit of Dr. M. Sharif- US$ 6,500

FAPESP             2000/2002- pos-doc fellowship for  Dr. Bolivar Alves Oliveira

MOTOROLA   2001-research grant to develop an antenna for launching (finite aperture approximations) to X waves.

CNPq    2001/2002- senior research fellowship (Department of Mathematical Sciences, University of Liverpool

 

 

 


 

 

THEACHING EXPERIENCE

 

In the last 40 years I lectured more than 70 courses at graduated and pos-graduated levels at Physics and Mathematical Departments, as, e.g.:

·        General Physics

·        Electrodynamics

·        Special and General Relativity

·        Mathematical Methods of Physics

·        Applied Mathematics

·        Partial Differential Equations

·        Elementary Particle Theory

·        Differential Geometry

·        Theory of Connections and Gauge Theory

·        Quantum Mechanics

·        Quantum Theory of Fields

·        Calculus, Linear Algebra and Analytic Geometry

·        Clifford, Algebras, Multivetor and Extensor Calculus.

 

MEMBER OF EDITORIAL BOARD AND REFEREE OF JOURNALS

 Editor-in-Chief: Advances in Applied Clifford Algebras

 Member of the editorial board: ISRN Algebra, Random Operators and Stochastic Equations.

Referee: Found. Phys., N.  Cimento, J.  Math. Phys., Int.  J. Theor. Phys., Brazilian Journal of Phys., Phys. Letters A and B, Journal of Physics: Mathematical and General, Classical and Quantum Gravity, Annalen der Physik, Phys. Rev. A, D ,E, etc.

Reviewer: Mathematics Reviews and Zentralblatt für Mathematik.

 

 

 Master and PhD. thesis Advised

 

 

·        Title: Mutiple Production of Mesons Induced by Cosmic Ray (Elab>240 TeV) and Comparison with IRS‑CERN Data.

Ph.D. thesis of Armando Turtelli Junior, presented to the “Instituto de Física "Gleb  Wataghin” (IFGW), UNICAMP, at  06/03/ 1974

 

·        Title: The Theory of Groups and the Concept of Mass.

M. Sc. thesis (Pure Mathematics) of Afonso Augusto Lopes, presented to   IMECC‑UNICAMP at 08/ 23/1983.

 

·        Title: Covariance, Invariance and the Principle of Relativity.

Ph. D. thesis (Pure Mathematics) of Miriam E. F. Scanavini, presented to  IMECC‑UNICAMP, 08/21/1986

 

·        Title:  Symmetry Laws in Spacetime in Spacetime Theories.

M. Sc. thesis (Physics) of Quintino A. Gomes de Souza, presented to  IFGW- UNICAMP, 05/1986. 

 

·        Title: Generalized Potentials and dual Charges: An Essay about Magnetic Monopoles.

Ph. D. thesis (Physics) of Adolfo Maia Jr., presented to IFGW-UNICAMP, 08/1987.

 

·        Title: Spinorial Structures in Lorentzian Manifolds.

Ph.D. thesis (Pure Mathematics) ofVera Lúcia Figueiredo, presented to IMECC‑UNICAMP, 10/02/1986

 

·        Title: Geometrical Algebras, Rotations and Classic Electrodynamics.

M.Sc. thesis (Physics) of  José Roberto Zeni presented to IFGW-UNICAMP, 10/14/1987.

 

·        Title: Aplications of Principal Fiber Bundles and Spacetime Theories to some Physical Theories

Ph.D. thesis (Physics) of Márcio A. Faria‑Rosa, presented to IFGW-UNICAMP, 10/1987.

 

·        Title: Mathematical Foundations of Gauge Theories.

M. Sc. thesis (Pure Mathematics) of Alexandre Trovon de Carvalho, presented to IMECC-UNICAMP , 02/20/1992 .

 

·        Title: Lorentz Transformations, Clifford Algebras and the Motion Of Charged Particles.

Ph. D. thesis (Physics) of José Ricardo Rezende Zeni, presented to IFGW-UNICAMP, 01/1992.

 

·        Title: Dirac Operators on Riemann-Cartan-Weyl Spacetimes and the Nature of the Gravitational Field.

Ph. D. thesis of Quintino Augusto Gomes de Souza, presented to IFGW-UNICAMP, 06/1992.

 

·        Title: The Spacetime Algebra, the Dirac-Hestenes Spinor and the Theory of the Electron.

Ph. D. thesis (Applied Mathematics) of Jayme Vaz Jr., presented to IMECC‑UNICAMP, 12/1993.

 

·        Title: A Model of a Classical Particle with Spin.

M. Sc. thesis (Physics) of Virgínia Fernandez, presented to  IFGW-UNICAMP, 06/08/1995.

 

·        Title: Lagrangian Formalism for Multivectorial Fields.

Ph. D. thesis (Apllied Mathematics) of Antonio Manuel Moya, presented to IMECC-UNICAMP, 05/26/1999.

 

·        Title: Superluminal Solutions of the Relativistic Wave Equations and the Principle of                             Relativity.

Ph. D. thesis (Physics) of José Emilio Maiorino, presented to IFGW-UNICAMP, 06/26/1999.

 

·        Title: The Role of Algebraic Operators in the Lagrangian Formalism.

Ph. D. thesis (Pure Mathematics) of Alexandre Luis Trovon de Carvalho, presented to  IMECC-UNICAMP, 05/05/2000.

 

·        Title: Distortion and Rotation Extensors in the Gravitational Theories.

 Ph. D. thesis (Physics) of  Virginia Velma Fernández,  presented to  IFGW-UNICAMP, 11/29/2000.

 

POS DOCTORAL STUDENTS

 

·        Dr. Edmundo Capelas de Oliveira (88/89)

·        Dr. Quintino A. Gomes de Souza (92/94)

 

·        Dr. Yuri Bozkhov (94/95)

 

·        Dr. Rodolfo Monaco (1993/1994)

 

·        Dr. Alberto Saa (1996/1997)

 

·        Dr. Bolivar Alves Oliveira (2000/2002).

 

·        Dr. Bolivar Alves Oliveira (2005) 

 

·       Dr. Eduardo A. Notte-Cuello (2007)

 

 

 

  

 

 

 

PRIZES AND DISTINCTIONS

 

 

·        Zeferino Vaz Prize of Academic Merit in Mathematics,1992.

·        Ordinary member da Lódz Society of Sciences,  since 29/05/95.

·        Editor-in-Chief of "Advances in Applied Clifford Algebras".

·        Member of the Editorial Board of the Journal "Random Operator and Stochastic Equations".

·        Member of the New York Academy of Sciences.

·        Zeferino Vaz Prize of Academic Merits in Mathematics, 1998.

·        Listed in several ‘Who is Who?’ since 1997.

·         Chairman Telesio-Galilei Academy of Science, since 2009.

·         Member of RANS (Russian Academy of Natural Sciences) since 2011.

 

 

 

 

 

 

 

 


 

MEMBER OF SCIENTIFIC SOCIETIES

 

·        Sociedade Brasileira de Física

·        Sociedade Brasileira de Matemática Aplicada e Computacional

·        Sociedade Brasileira de Matemática.

·        American Mathematical Society

·        New York Academy of Sciences

·        Lódz Society of Sciences, Poland

 

 

 

ORGANIZATION OF CONFERENCES

 

 

·        Chairman of the International Conference: The Mind‑Matter Interaction, Hotel Transamerica, São Paulo, SP, July, 1985.

      Sponsors:  UNICAMP, IBM‑Brasil, Banco Real.

 

·       Co-Chairman of the Workshop: Gravitação, Partículas e Cosmologia,  IMECC‑UNICAMP, 2‑5 May 1989.

      Sponsors: CNPq, CAPES.

 

·        Co-Chairman of the International Conference: 8th Latin American Symposium on Relativity and Gravitation (SILARG VIII) Águas de Lindóia, 25‑30 de junho de 1993.

      Sponsors: CNPq, FAPESP.

 

·        Member of the Org. Com.: Banach Center Symposium on Generalizations of Complex Analysis and The Applications on Mathematical Physics.("Seminar on Deformations of Mathematical Structures Applied to Physics), Warsaw, May 30 – July 1,1994.

Sponsor: Polish Academy of Sciences

 

·        Member of the Org. Com.  First Brasil/USA Workshop on Geometry, Topology and Physics, July 1996.

      Sponsor: CNPq, FAPESP, FINEP, FAEP

 

·        Member of the Org. Com. of the V Friedmann Seminar on Gravitation and Cosmology, St. Petersburg, Russia, June 1998.

      Sponsor: Univ. St. Petersburg, Friedmann Lab. Theor. Physics

 

·       Member of the Scientific. Com. of the VI Int. Conference on Clifford Algebras, Cookville, TN, May 2002

      Sponsors: Americam Mathematical Society, National Science Foundation

 

·        Member of the Scientific. Com. of the VII Int. Conference on Clifford Algebras, Toulouse, France, May 2005.

Sponsor: Univ. Paul Sabatier, Toulouse, France.

·         Chairman of the VIII Int. Conference on Clifford Algebras, Campinas, Brazil, May 2008.

Sponsor: University of Campinas.

·         Member of the Scientific. Com. of the IX Int. Conference on Clifford Algebras, Weimar, Germany, July 2011.

Sponsor: Bauhaus-University, Weimar, Germany.

 

 

 

 

 

 

 

 

 

PARTICIPATION IN CONGRESS, SUMMERS SCHOOLS, ETC.

 

1.     International School in Sub‑Nuclear Physics ‑ Ettore Majorana ‑ July 1971‑ Erice, Sicília (Italy).

 

2.      XXIV Reunião da SBPC ‑ (contributed papers) July  1972 ‑ São Paulo.

 

3.      XXV Reunião da SBPC ‑ (contributed papers) July 1973 ‑ Guanabara.

 

4.     3º Simpósio Nacional de Física do Estado Sólido e Ciência dos Materiais ‑ (contributed papers) July 1973 ‑ Campinas.

 

5.      XV Scottish Universities Summer School ‑ August 1973 ‑ Edinburg ‑ Scotland.

 

6.      XXVI Reunião da SBPC ‑ (contributed papers) July 1974 ‑ Recife.

 

7.      XVII International Conference on High Energy Physics, (invited Delegate) London, 1974.

 

8.      March Meeting of the American Physical Society  (contributed papers),Washington, 1978.

 

9.      Spring School and Workshop on Supergravity, ICTP, Trieste, 04/22-06/06, 1981.

 

10.    III Encontro Nacional de Física de Partículas e Campos (contributed papers), Cambuquira, MG, September1981.

 

11.    II Escola de Gravitação e Cosmologia do CBPF ‑ João Pessoa-Pb (1980).

 

12.    III Escola de Gravitação e Cosmologia do CBPF ‑ Rio de Janeiro ‑ RJ (1982).

 

13.    7º Congresso Nacional de Matemática Aplicada e Computacional, (invited lecturer) Campinas, SP, 24- 28 September 1984.

 

14.    First International Conference on the Mind‑Matter Interaction, (organizer) July 1985, São Paulo, Brasil.

 

15.    XVIII International Cosmic Ray Conference, (contributed paper, 1983, India).

 

16.       XVII International Conference on High Energy Physics, (contributed paper), July, 1986, Berkeley, USA.

 

17.       Conference: "300 Years of the Discovery of the Law of Gravitation, Brazilian Society for the Philosophy of Science (invited lecturer), August, 1986, Campinas, Brasil.

 

18.       Global Conference on Mathematical Physics (invited lecturer), October, 1987, Nagpur, India.

 

19.        The Return of the Galilean Method in Science (invited lecturer), Universitá di Bologna and Consiglio Nazionale Ricerca (CNR), May 1988, Bologna, Italy.

 

20.       Conference on the Status of Experimental and Theoretical Physics, Dep. of Mathematics, (invited lecturer), Universita di Perugia, Maio de 1988, Itália.

 

21.       VII Convegno Nazionale di Relativita e Fisica della Gravitazione, Italian Physical Society (lecturer), September, 1988, Cavalese, Itália.

 

22.       Conference: "Physical Interpretations of Relativity Theory", British Society for the Philosophy of Science, (contributed paper), September, 1988, London, UK.

 

23.       Conference: Foundations of the Mathematics and Physics in the XX Century. Renounce to Intuition. (invited lecturer), Univ. di Perugia, Itália, 27‑29, September, 1989.

 

24.     VII Simposio Latino Americano de Relatividade e Gravitação, México City, November 1990.

 

25.       XII Encontro Nacional de Física de Partículas e Campos, Caxambú, MG, 1991.

 

26.       III Workshop on Clifford Algebras and their Applications in Mathematical Physics (invited lecturer) Deinze, Belgium, May 1993.

 

27.      SILARG VIII "8th Latin American Symposium on Relativity and Gravitation" (invited lecturer) Águas de Lindóia, July 25‑30, 1995.

 

28.       International Conference on the Theory of the Electron (invited lecturer), Univ. Nac. Aut. Mexico, Mexico City, September 27-29, (1995).

 

29.       IV Workshop "Clifford Algebras and their Applications in Mathematical Physics, (invited lecturer) Aachen, Germany, May 1995.

 

30.       Conference: Physical Interpretations of Relativity Theory (invited lecturer) London, September 1996.

 

31.       Conference: Covegno Cartesiano, (invited lecturer) Univ. Perugia, Italia, September 1996.

 

32.       Conference: Superluminal (?) Velocities, (invited lecturer) Univ. Kohln, Germany, 04 - 07 June 1998.

 

33.       Conference: V Friedmann Seminar on Gravitation and Cosmology, (invited lecturer) Friedmann Lab. Theor. Phys., St. Petersburg, Russia, June 16 - 25, 1998.

 

34.       Bohm Symposium, University of São Paulo, September 1998.

 

35.       V Conference on Clifford Algebras and their Applications in Mathematical Physics (invited lecturer), México, 27/06-04/07, 1999.

 

36.        Paulo L. Ferreira Symposium, Institute of Theoretical Physics, Univ. Estadual Paulista (UNESP), October 1999.

 

37.       VI Conference on Clifford Algebras and their Applications in Mathematical Physics, Cookvile, USA, May 2002.

 

38.       VII Conference on Clifford Algebras and their Applications in Mathematical Physics, Toulouse, France, May 2005.

 

 

 

 


 

 

PUBLICATIONS

 

A. Journals[1]

 

 

1.              Calculation of the  Form Factors in  the  Soft  Pion Formalism, Atti delle Accademia  delle Scienze  di  Torino  106, 173‑180 (1972).

2.              On the Theory of Disordered Alloys (with N. J. Parada and A.R. Lopes), Braz. J. Phys. 4, 263‑281 (1974).

3.              Commentary about the Large Transverse Secondary Momenta Observed at the ISR‑CERN (with A. Turtelli Jr. and M. Luksys), Anais da Acad.  Bras. de Ciências  46, 197‑201 (1974).

4.              Pion Inclusive Distributions at Cosmic Ray Energies and Comparison with ISR Data(with A. Turtelli Jr,), N. Cimento A 23,  227‑236 (1974).

5.              A Comment on a Proposed Crucial Experiment to Test Einstein's Special Theory of Relativity (with V. Buonomano),  N. Cimento B 34, 240‑244 (1976).

6.              Discrete “Fireball” Masses in High Energy Collisions (with C. A. P. Ceneviva),  Acta Phys.  Polon. B 8, 457‑467 (1977).

7.              Single Particle Green’s Functions Calculations of the Electrical Conductivity of Strong Correlated Systems, Braz. J. Phys9, 109‑122 (1979).

8.              Electronic Correlations in Narrow‑Band Solids (with Ellen J. Yoffa and David Adler), Phys. Rev. B 19, 1203‑1212 (1979).

9.              A New Type of Nuclear Interaction in the , (with C.M.G. Lattes, Y. Fujimoto et al.) Brazil‑Japan Emulsion Chamber Collaboration, AIP Conference Proc.  49, Particles and Fields 16, 317‑333 (1979).

10.          Multiple Meson Production in the Region, (with C.M.G. Lattes, Y. Fujimoto et al.). Brasil‑Japan Emulsion Chamber Collaboration, AIP Conference Proc.  49, Particles and Fields 16, 94‑109 (1979).

11.          Baryon Pair Production with Large Decay Q‑value, (Brazil‑Japan Emulsion Chamber Collaboration, (with C. M. G. Lattes, Y. Fujimoto et al),  AIP Conference Proc. 49, Particles and Fields 16, 145-151 (1979).

12.          Centauro, Geminion and Multi‑Pion Events (with J. Dias de Deus), N. Cimento A 55, 34‑44 (1980).

13.          Antiparticles from Special Relativity with Orthochronous and Antichronous Lorentz     Transformations (with E. Recami), Found.  Phys. 12, 709‑718 (1982). MR 831:83006 and MR 87B:83007

14.          Objetividade, Convencionalismo e a Teoria da Relatividade (with C.A.P. Ceneviva), Cadernos de História e Filosofia da Ciência 3, 59‑832 (1982).

15.          The Standard of Lenght in the Theory of Relativity and Ehrenfest Paradox, N. Cimento B 74, 199‑211 (1983).

16.          Chirons, Centauros, Geminions, Pion Production:  A Phenomenological and Theoretical Analysis (with P. Ammiraju   and E.Recami), N. Cimento A 78, 172‑204 (1983).

17.          Some Applications of Non‑Hermitian Operators in Quantum Mechanics and Quantum Field Theory (with E. Recami and P. Smrz). Hadronic Journal 6, 1773‑1789 (1983).

18.          Einstein's Special Relativity Versus Lorentz's Aether Theory, (with J.Tiomno), Braz. J. Phys. 14 (volume dedicated to Mário Schönberg), 450‑465  (1984).

19.          Is Lorentz Invariance an Exact Symmetry of Nature? Hadronic Journal 7, 436‑455 (1984). MR 87i:83007

20.          On Experiments to Detect Failures of Relativity Theory (with J. Tiomno), Found. Phys. 15, 945‑961 (1985).

21.          Lorentz Invariant Clocks do not Exist, Lett. Nuovo Cimento 44, 510‑512 (1985). MR 87d:83008

22.          Theory of the Michelson ‑ Morley Experiment in a Gravitational Field (with M.A.F. Rosa), Lett. Nuovo Cimento 44, 437‑441 (1985).

23.          Tachyons: May They Have a Role in Elementary Particle Physics?, (with E. Recami), Progress in Particles  and Nuclear Physics 15, 499‑517 (1985).

24.          A Comment on the Null Geodesics Equation in the Schwarzchild Geometry (with M.A.F. Rosa), Braz. J. Phys. 16, 535‑540 (1986).

25.          A Satisfactory Formalism for Magnetic Monopoles by Clifford Algebras (with M.A. de Faria Rosa and E.  Recami), Phys.Letters B 173, 233‑236 (1986); P.L. B 188, 511E (1987).  MR 87j:81267 and MR 88c:81126

26.          A Comment on the Proof of Noether’s Theorem in Smooth Manifolds (with Q.A.G. de Souza), Braz. J. Phys. 16, 541‑549 (1986). 

27.          Os Taquions  (with E.  Recami and M. Fracastoro‑Decker), Ciência Hoje 5, 48‑50 (1986).

28.          The Meaning of Time in Relativity and Einstein’s Later View of the Twin Paradox (with  M. A. Faria  Rosa),  Found. Phys. 19, 705‑724 (1989). MR 90k:83006

29.          Grassmann’s Fields and Generalized Magnetic Monopoles (with A. Maia Jr.), Braz. J. Phys. 19, 292‑305 (1989).

30.          A Geometrical Theory of Non Topological Magnetic Monopoles (with M. A.  Faria Rosa), Mod. Phys. Lett. A 4, 175‑184 (1989). MR 91b:53091

31.          A Comment on the Twin Paradox and the Hafele‑Keating Experiment (with E. C. de   Oliveira), Phys.  Letters A 140, 479‑484 (1989). MR 90m:83007

32.          Physico-Mathematical Approach to Generalized Monopoles without String (with M. A. Faria Rosa, A. Maia Jr. and E. Recami), Hadronic Journal 12, 187‑212 (1989). MR 91f:81240

33.   The Classical Problem of the Charge Pole Motion, (with A. Maia Jr., M.A. Faria Rosa   and E. Recami), Phys. Lett. B 220, 195‑199 (1989). MR 90b:78005

34.          Magnetic Monopoles without String by Kahler‑Clifford Algebras (with M.A. Faria Rosa, A. Maia, Jr., and E. Recami), Mod. Phys. Lett. A 5, 543‑549 (1990). MR 91i:81106 31.

35.          A Comment on Generalized Electrodynamics and Dirac Algebras, Found. Phys. Lett.  3, 95‑99 (1990). MR 91d:81106

36.          Dirac and Maxwell Equations in the Clifford and Spin‑Clifford Bundles (with E. C. de Oliveira), Int. J. Theor. Phys. 29, 397‑412 (1990). MR 91d:53021

37.          Covariant, Algebraic and Operator Spinors (with V.L. Figueiredo and E. C. de   Oliveira), Int.  J. Theor. Phys29, 371‑396 (1990). MR 91d:5302

38.          Magnetic Monopoles without String in the Kähler‑Clifford Algebra Bundle: A Geometrical Interpretation (with A. Maia Jr., E. Recami, and M. A. Faria Rosa), J. Math. Phys.  31, 502‑505 (1990). MR 91d:81158 and MR 92b:81225

39.          Finite Form of a Generic Proper Orthocronous Lorentz Transformation and its Dynamical Interpretation (with J. R.R.Zeni), Braz. J.  Phys. 20, 377‑384 (1990).

40.          Formal Structures, the Concepts of Covariance, Invariance, Equivalent Reference Frames, and the Principle of Relativity (with M. Scanavini and L.  P. Alcantara), Found. Phys. Lett.  3, 59‑79 (1990). MR 91b:83005

41.          Real Spin Clifford Bundle and the Spinor Structure of Space‑Time (with V. L. Figueiredo), Int.  J. Theor. Phys.  29, 413‑424 (1990). MR 91d:53022

42.          Clifford Algebras and the Hidden Geometrical Nature of Spinors (with V. L. Figueiredo and E.C.de Oliveira), Algebras, Groups and Geom. 7, 153‑198 (1990). MR 92f:15015

43.          The Exponential of the Generators of the Lorentz Group and the Solution of the Lorentz Force, (with J. R.R. Zeni), Hadronic Journal 13, 317‑327 (1990). MR 92b:83007

44.          On Magnetic Monopoles (without a String) and the Clifford Bundle Formalism, (with E. Recami), Ann. de la Fond. L. de Broglie 16, 1‑12 (1991).

45.          Hadronic Mass Spectra in a Unifield Approach of Strong and Gravitational Theory (with P.  Ammiraju, E. Recami, J. Roversi, and V.T. Zanchin), Hadronic Journal 14, 441‑457   (1991).

46.          A Thougthful Study of Proper Orthocronous Lorentz Transformations by Clifford   Algebras (with J. R. R. Zeni), Int. J. Mod. Phys. A 7, 1793‑1817 (1992). MR 93d:15041

47.           Equivalence of Dirac and Maxwell Equations and Quantum Mechanics, (with J. Vaz, Jr.), Int. J. Theor. Phys. 32, 945‑955 (1993). MR 94h:81051

48.          Comments on Fryberger’s Approach to Generalized Electromagnetism (with J. Vaz, Jr.), Adv. in Appl. Clifford Alg.   3, 139‑146 (1993). MR 94c:78004

49.          A Generalization of Dirac Non Linear Electrodynamics, and Spinning Charged Particles (with E. Recami and J. Vaz, Jr.), Found Phys.  23, 469‑481 (1993). MR  94c:83054

50.          The Clifford Bundle and the Nature of the Gravitational Field,  (with Q. A. G.  de Souza), Found. Phys. 23, 1465‑1490 (1993). MR 95c:83054

51.          The Relation between 2‑Spinors and Rotations, (with J. E. Maiorino and J. R. R. Zeni). Alg. Groups and Geom. 10, 53‑72 (1993). MR 94i:15023

52.          A Spinor Representation of Maxwell Equations and the Dirac Equation, (with J.Vaz, Jr.), Hadronic Journal 16, 129‑135 (1993). MR 94a:81049

53.          Spin and Electron Structure (with M. Pavsic, E. Recami, D. G. Maccarrone, F.Raciti and G. Salesi), Phys. Lett. B 318, 481‑488 (1993). MR 94h:81163

54.          About Zitterbewegung and Electron Structure, (with J. Vaz Jr., E.Recami and G.Salesi), Phys. Lett. B 318, 623‑628 (1993). MR 95a:81298

55.          Zitterbewegung and the Electromagnetic Field of the Electron, (with J. Vaz Jr.), Phys. Lett. B 319, 203‑208 (1993).

56.          New Integral Representation of the Solution of Schrödinger Equation with Arbitrary Potential (with R. L. Monaco), Phys. Lett. A 179, 235‑238 (1993). MR 94h:81026

57.          Do Neutron Interferometric Experiments Implies that the Neutron Wave Function is a Covariant Pauli Spinor (with J. E. Maiorino and J. R. Zeni). Adv. in Appl. Clifford Alg. 3, 21‑28 (1993).

58.          Generalized Dirac’s Quantization Condition for Phenomenological non‑Abelian Magnetic Monopoles (with A. Maia Jr.), Mod. Phys. Lett. A 9, 81‑88 (1994). MR 94m:81134

59.          The Effective Riemann‑Cartan‑Weyl Space Generated by a Dirac‑Hestenes Spinor Field. (with D. Rapoport,  Q. A. G. de Souza and J. Vaz Jr.), Algebras, Groups and Geom. 11, 23‑35 (1994). MR 95f:53129

60.          Electron Structure, Zitterbewegung and a New Non‑Linear Dirac‑Like Equation (with M. Pavsic and E. Recami), Hadronic Journal 18, 97-118 (1995).

61.          The Mathematical Structure of Newtonian Space‑Time (with Q.A.G. de Souza and Y. Bozhkov), Found. Phys. 25, 871-924 (1995). MR 95f:53101

62.          Escape from a Fluctuating Double Well. Part A (with A.J.R. Madureira, P.  Hängi and V. Buonomano), Phys. Rev. E 51, 3849-3861 (1995).

63.          Escape from a Fluctuation Double Well. Part B (with A. J. R. Madureira, P. Hangii and V. Buonomano), Phys. Rev. E 52, 3301-3301 (1995).

64.          Mass and Energy in General Relativity (with Y. Bohzkov), Gen. Rel. and Grav. 27, 813- 819 (1995). MR 96j:83028

65.          A Riemann Integral Approach to Feyman’s Path Integral (with R.L. Monaco and R.E. Lagos), Found. Phys. Lett8, 365-375 (1995). MR 96f:58026

66.          Taquiones (with E. Recami and M. T. Vasconcelos). Ciência Hoy 30/18, 50-62, (1995)

67.          On the Problem of Conformal Coupling in Field Theory in Curved Spacetime (with A. A. Grib). Cosmol. Grav. 1, 273-276 (1995).

68.          Dirac‑Hestenes Spinor Fields, in Riemann‑Cartan Spacetimes (with Q.A.G. de Souza, J. Vaz Jr. and P. Lounesto). Int. J. Theor. Phys. 35, 1849-1900 (1996). MR 94j:53073

69.          A Unified Theory for Construction of Arbitrary Speeds 0 £ v < ¥ Solutions of the Relativistic Wave Equations (with J. E. Maiorino), Random OperStoch. Equs.  4, 355-400 (1996). MR 98c:81089

70.          Clifford Algebraical Approach to Particle Lifetimes, (with J. Lawrinowicz), Bull. Soc. Sci. Lódz XXI, 1-7 (1996). MR 1475 302

71.          The Clifford Bundle and the Dynamics of the Superparticle (with J. Vaz, Jr and M Pavsic), Banach Center Publications. Polish Acad. Sci. 37, 295-314 (1996). MR 98i:81091

72.          Uma Topologia mais Fina para o Espaço-Tempo de Minkowski (with A.L.T. de Carvalho), Bol. Soc. Paran. Mat. 16, 23-38 (1996).

73.           On the Existence of Undistorted Progressive Waves (UPWs) of Arbitrary Speeds  0 £ v < ¥ in Nature” (with Jian-Yu Lu). Found. Phys. 27, 435-508, (1997) MR 98f:35144

74.          Subluminal and Superluminal Solutions in Vacuum of Maxwell and the Massless Dirac Equation.(with J.Vaz Jr.). Advances Appl. Clifford Algebras 7(S), 453-462 (1997). MR 98k:81100

75.          Maxwell and Dirac Theories an Already Unified Theory (with J. Vaz Jr.), Advances Appl.     Clifford Algebras. 7(S), 369-386 (1997). MR 99k:81100

76.          The Exact Bohr-Sommerfeld Quantization Rule (with R. L. Monaco), Random Oper. Stoch. Equs.  5, 197-202 (1997). MR 98c:81064

77.          The Geometry of Spacetime with Superluminal Phenomena (with T. Matolcsi), Algebras, Groups and Geom. 15, 1-15 (1997). MR 2000a:83005

78.          Quantum Mechanics from Complex to Complexified Quaternions (with S. De Leo), Int. J. Theor. Phys.  36, 2725-2757 (1997). MR 99f:81118

79.          New Solutions of the Main Relativistic Wave Equations (with J. E. Maiorino and Y. D.    Bozhkov), Seminari di Geometria, Univ. Bologna 11, 202-229 (1997). MR 99h:81073

80.          Launching of Non-Dispersive Sub and Superluminal Beams, (with V. Barashenkov), N. Cimento B 113 (3), 329-338 (1998).

81.          On the equation Ñ´ a = k a (with J. Vaz, Jr). Bol. Soc. Par. Matemática 17 (1/2), 19-24   (1998). MR 99j:78011

82.          From Electromagnetism to Relativistic Quantum Mechanics (with J. Vaz Jr.), Found. Phys28 (5), 789-814 (1998). MR 99i:81073

83.          Quaternionic Electron Theory: Dirac’s Equation (with S. De Leo), Int. J. Theor. Phys. 37 (5), 1511-1529 (1998). MR 99f:81079

84.          Complex Geometry and Dirac Equation, (with S. De Leo and J. Vaz, Jr), Int. J. TheorPhys. 37 (9), 2479-2495 (1998). MR 2000g:81082

85.          Quaternionic Electron Theory: Geometry, Algebra and Dirac’s Spinors, (with S. De Leo), Int. J. Theor. Phys., 37 (6), 1707-1720 (1998). MR 99j:81060

86.          Superluminal Electromagnetic Waves in Free Space (with E. C. Oliveira), Annalen der Physik 7, 654-659 (1998).

87.          The Electric Field Outside a Stationary Resistive Wire Carreging a Constant-Current, (with A. K.T. Assis and A. J. Mania), Found. Phys. 29 (5), 729-753 (1999). MR 2000e:78002

88.          The Dirac-Hestenes Lagrangian, (with S. De Leo, Z. Oziewicz and J. Vaz, Jr), Int. J. Theor. Phys. 38, 2347-2378 (1999). MR 2002m:81075

89.          What is Superluminal Wave Motion (with J. E. Maiorino), Sci. and Tech. Mag. 2 (4), 167 pages, (1999), http://www.ime.unicamp.br/rel_pesq/1999/rp59-99.html

90.          Lagrangian Formalism for Multiform Fields on Minkowski Spacetime (with A. M. Moya and V. V. Fernández), Int. J. Theor. Phys. 40 (1), 299-313 (2001). MR 2002d: 58025

91.          The non Sequitur Mathematics and Physics of the ‘New Electrodynamics’ Proposed   by the AIAS Group (with A. L. Trovon de Carvalho), Random Oper. Stoch. Equs. 9 (3), 161-206 (2001). MR 2002d:78002, http://arxiv.org/abs/physics/0302016

92.          Causal Explanation of Observed Superluminal Behavior of Microwave Propagation in Free Space (with D.S. Thober and A.L. Xavier, Jr.), Phys. Lett. A 284(6), 217-224 (2001).

93.          Thoughtful Comments on ‘Bessel Beams and Signal Propagation’ (with E.C. de Oliveira, D. S. Thober and A.L. Xavier, Jr., Phys. Lett. A 284(6), 296-303 (2001). MR 2002d:78007

94.          Rotating Frames in RT: Sagnac’s Effect in SRT and other Related Issues, (with M. Sharif), Found. Phys. 31(12), 1767-1784 (2001). MR 2003a:83005

95.          Equivalence Principle and the Principle of Local Lorentz Invariance (with M.Sharif), Found. Phys. 31(12), 1785-1806 (2001). MR 2003a:83006

96.          Finite Energy Superluminal Solutions of Maxwell Equations (with E. C. de Oliveira), Phys. Lett. A 296(6), 367-370 (2001). MR 1917688

97.           Euclidean Clifford Algebra (with V. V. Fernández and A. M.  Moya), Advances in Applied Clifford Algebras 11(S3), 1-21 (2001).

98.          Extensors (with V. V. Fernández and A. M.  Moya), Advances in Applied Clifford Algebras 11(S3), 23-40 (2001).

99.          Metric Tensor Vs. Metric Extensor (with V. V. Fernández and A. M. Moya), Advances in Applied Clifford Algebras 11(S3), 41-48 (2001).

100.      Metric Clifford Algebra (with V. V. Fernández and A. M. Moya), Advances in Applied Clifford Algebras 11(S3) 49-68, (2001).

101.      Multivector Functions of Real Variable (with V. V. Fernández and A. M. Moya),   Advances in Applied Clifford Algebras 11(S3), 69-77, (2001).

102.      Multivector Functions of Mutivector Variable (with V. V. Fernández and A. M. Moya), Advances in Applied Clifford Algebras 11 (S3), 79-91 (2001).

103.      Multivector Functionals (with V. V. Fernández and A. M.  Moya), Advances in Applied Clifford Algebras 11 (S3), 93-103 (2001).               

104.           The Relation between Maxwell, Dirac and the Seiberg-Witten Equations, International Journal of  Mathematics and Mathematical Siciences 2003, 2707-2734 (2003), RP 61/02 IMECC-UNICAMP, math-phys/0212034. MR 2005f:81110

105. Stochastical Electrodynamics in Clifford-Analytical Formulation Related to Entropy-Depending Strucutres, Bulletin Soc. des Sci. et Lettres de Lódz, LIII, series Recherches sur les Deformations XL1, 69-87 (2003). MR 2006k:78003

106.             Algebraic and Dirac-Hestenes Spinors and Spinor Fields, J. Math. Phys. 45 (7), 2908-2994 (2004). MR 2006B:61113

107.              The Bundles of Algebraic and Dirac-Hestenes Spinor Fields (with R. A. Mosna). J. Math. Phys. 45(7), 2945-2966 (2004). MR 2006b:61114

108.       Dotted and Undotted Algebraic Spinor Fields in General Relativity (with E. Capelas de Oliveira, Int. J. Mod. Phys. D 13(8), 1637-1659 (2004). MR 2005g:83081 and MR 2133771

109.          Clifford Valued Differential Forms and Some Issues on Gravitation, Electromagnetism  and “Unified” Theories (with E. Capelas de Oliveira), Int. J. Mod. Phys. D 13(9), 1879-1915 (2004). MR 2005m:83110 and MR 2346632

110.             Hidden Consequence of Active Local Lorentz Invariance (with R. da Rocha and J. Vaz Jr.), Int. J. Geom. Meth. Mod. Phys. 2, 305-357 (2005). MR 2006g:81070

111.       An Ambiguous Statement Called ‘Tetrad Postulate’ and the Correct Field Equations Satisfied by the Tetrad Fields (with Q. A. G. de Souza) Int. J. Mod. Phys. D 14(12), 2095-2150 (2005), MR 2007a:83003 [http://arxiv.org/abs/math-ph/0411085]

112.          Where are Elko Spinor fields in Lounesto Spinor Field Classification? (with R. da Rocha), Mod. Phys. Lett. A 21 (1), 65-74 (2006). MR 2006i:81091 [http://arxiv.org/abs/math-ph/0506075]

113.          The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is an Exact Differential (with R. da Rocha), Mod. Phys. Lett. A 21 (19), 1519-1527 (2006).MR 2007b:83140 [http://arxiv.org/abs/hep-th/0512168]

114.          The Dirac–Hestenes Equation for Spherical Symmetric Potentials in the Spherical and Cartesian Gauges (with R. da Rocha), Int.  J.  Mod. Phys. A 21, (19-20), 4071-4082 (2006).  MR 2007f:81124 [http://arxiv.org/abs/math-ph/0601018]

115.          A Comment on "On Some Contradictory Computations in Multi-dimensional Mathematics" (with E. Capelas de Oliveira), Nonlinear Analysis: Theory, Methods & Applications 67 (7), 2316-2320 (2007). MR 2331882  [http://arxiv.org/abs/math.GM/0603599]

116.          A Maxwell Like Formulation of Gravitational Theory in Minkowski Spacetime (with E. Notte-Cuello), Int. J. Mod. Phys. D 16, 1027-1041 (2007), MR 2008g:83065 [http://arxiv.org/abs/math-ph/0608017]

117.          Geometric Algebras and Extensors (with V. V. Fernández and A. M.  Moya),  Int. J. Geom. Meth. Math. Phys 4 (6), 927-964(2007). MR 2352860 [http://arxiv.org/abs/math.DG/0703090]

118.          Multivector and Extensor Fields in Smooth Manifolds (with V. V. Fernández and A. M.  Moya), Int. J. Geom. Meth. Math. Phys. 4 (6), 965-985 (2007). MR 2352861 [http://arxiv.org/abs/math.DG/0501559]

119.          Geometric and and Extensor Algebras in the Study of the Differential Geometry of Arbitrary Manifolds (with V. V. Fernández and A. M.  Moya), Int. J. Geom. Meth. Math. Phys. 4 (7),1117-1158  (2007). MR 2371936 [http://arxiv.org/abs/math.DG/0703094]

120.          Clifford and Extensor Calculus and the Riemann and Ricci Extensor Fields of Deformed Structures (M,′, η) and (M,,g) (with V. V. Fernández , A. M.  Moya and R. da Rocha),  Int. J. Geom. Meth. Math. Phys. 4 (7), 1159-1172 (2007). MR 2371937 [http://arxiv.org/abs/math.DG/0502003]

121.          Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes I. Conservation Laws,  (with Q. A. G. de Souza and R. da Rocha), Bulletin Soc. des Sci. et Lettres de Lódz 57 , Ser. Recherches sur les Deformations 52, 37-65 (2007)  [http://arxiv.org/abs/math-ph/0605008]

122.          Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes II. Appendix on Clifford Bundles, Maxwell Theory and Teleparallel Spacetimes, (with Q. A. G. de Souza and R. da Rocha), Bulletin Soc. des Sci. et Lettres de Lódz 57, Ser. Recherches sur les Deformations 52, 66-77 (2007)  [http://arxiv.org/abs/math-ph/0605008]

123.          The Hyperbolic Clifford Algebra of Multivecfors (with Q. A. G. Souza), Algebras, Groups and Geometries 24 (1), 1-24 (2007), MR 2008h:15025 [http://arxiv.org/abs/math-ph/0703053]

124.          Duality Products of Multivectors and Multiforms and Extensors (with V. V. Fernández, A. M. Moya and E. A. Notte-Cuello), Algebras, Groups and Geometries 24 (1), 25-54 (2007), MR 2008f:15095 [http://arxiv.org/abs/math-ph/0703054]

125.          Parallelism Structure on a Smooth Manifold, (with V. V. Fernández, A. M. Moya and E. A. Notte-Cuello), Algebras, Groups and Geometries 24 (2), 129-155  (2007), MR 2008g:53022 [http://arxiv.org/abs/math-ph/0703055]

126.        Covariant Derivatives of Multivector and Multiform Fields, (with V. V. Fernández, A. M. Moya and E. A. Notte-Cuello), Algebras, Groups and Geometries 24 (2), 221-237 (2007), MR 2345853 [http://arxiv.org/abs/math-ph/0703056]

127.       Covariant Derivatives of Extensor Fields, (with V. V. Fernández, A. M. Moya and E. A. Notte-Cuello), Algebras, Groups and Geometries 24 (3), 255-267 (2007). MR 2384680  [http://arxiv.org/abs/math-ph/0703057v1]

128.   The Square of the Dirac and spin-Dirac Operators on a Riemann-Cartan Space(time) (with E. A. Notte-Cuello and Q. A. G. de Souza), Rep. Math. Phys. 60, 135-157 (2007). [http://arxiv.org/abs/math-ph/0703052]

129.   Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and      Some Applications to Physics, Ann. Fond. L. de Broglie 32 (4), 425-478 (2007). [http://arxiv.org/abs/0712.3067v3.pdf]

130. Freud's Identity of Differential Geometry, the Einstein-Hilbert Equations and the Vexatious  Problem of the Energy-Momentum Conservation in GR (with E. Notte-Cuello), Advances in Applied Clifford Algebras 19 (1), 113-145, (2009).[http://arxiv.org/abs/0801.2559]

131. Diffeomorphism Invariance and Local Lorentz Invariance (with R. da Rocha), Advances in Applied Clifford Algebras 18 (3-4), 945-961 (2008).[http://arxiv.org/abs/math-ph/0510026]

132. The Effective Lorentzian and Teleparallel Spacetimes Generated by a Free  Electromagnetic Field (with E. Notte-Cuello and R. da Rocha),  Rep. Math. Phys. 62(3), 69-89 (2008). [http://arxiv.org/abs/gr-qc/0612098]

133.  Superposition Principle and the Problem of the Additivity of the Energies and Momenta of Distinct Electromagnetic Fields (with E. Notte-Cuello), Rep. Math. Phys. 62(3), 91-101 (2008).[http://arxiv.org/abs/math-ph/0612036]

134.  E. Notte-Cuello and Waldyr A. Rodrigues Jr., Freud's Identity of Differential Geometry, the Einstein-Hilbert Equations and  the Vexatious Problem of the Energy-Momentum Conservation in GR, Advances in Applied Clifford Algebras 19 (1), 113-145 (2009).  http://arxiv.org/abs/0801.2559

135.  Waldyr A. Rodrigues Jr., Killing Vector Fields, Maxwell Equations and Lorentzian Spacetimes, Advances in Applied Clifford Algebras 7, 871-884 (2010).   http://arxiv.org/abs/0801.3632

136. R. da Rocha and W. A. Rodrigues Jr., Gauge Fixing in the Maxwell like Gravitational Theory in Minkowski Spacetime and in the Equivalent Lorentzian Spacetime, AIP Conference Proc. 1316, 466-477, (2010). http://arxiv.org./abs/0806.4129

137. Roldão da Rocha and Waldyr A. Rodrigues Jr., Pair and Impair, Even and Odd Form Fields and Electromagnetism,  Annalen der Physik 19, 6-34 (2010). http://arxiv.org/abs/0811.1713

138.  E. A. Notte-Cuello, R. da Rocha and W. A. Rodrigues Jr., Some Thoughts on Geometries and on the Nature of the Gravitational Field, J. Phys. Math. 2, 20-40, (2010). http://arxiv.org/abs/0907.2424

139. Roldão da Rocha and Waldyr A. Rodrigues Jr, Rigorous Formulation of Duality in Gravitational Theories, J. Physics A: Math. and Theor. 43(20), 205206 (2010). http://arxiv.org./abs/0910.2021

 

 

 

 

  B.  BOOK CHAPTERS

 

 

 

1.      Characteristics of Multiple Production of Mesons around 100 TeV from Chacaltaya Cosmic‑Ray Experiment. Brazil‑Japan Emulsion Chamber Collaboration, (with C. M. G. Lattes, Y. Fujimoto et al). Proc. of the International Cosmic Ray Symposium on High Energy Phenomena, 01‑17, University of Tokyo, Japan, 1974.

2.      Further Evidences For a New Type of Nuclear Interaction at Extremely High Energy, (with C.M.G. Lattes, Y. Fujimoto et al). Brazil‑Japan Emulsion Chamber Collaboration, Proc. of the XIV International Cosmic Ray Conference, IUPAP, vol.7, 2393‑2398, USA, 1975.

3.      Multiple Production of Mesons in Cosmic Ray Energy Nuclear Interactions, (with C. M.G.  Lattes, Y. Fujimoto et al). Brazil‑Japan Emulsion Chamber Collaboration, Proc. of the XIV International Cosmic Ray Conference, IUPAP, vol.7, 2387‑2392, USA, 1975.

4.      Multiple Meson Production in the SEg > 2.1013 eV Region, (Brazil‑Japan Emulsion Chamber Collaboration (with C.M. G. Lattes, Y. Fujimoto et al), Proc. of the XVI International Cosmic Ray Conference, IUPAP vol. 6, 362‑367, Kyoto University Press, 1979.

5.      A New Type of Nuclear Interaction in the S Eg > 2.1014 eV Region, (with C. M. G. Lattes,Y. Fujimoto  et  al). Brasil‑Japan Emulsion Chamber Collaboration, Proc. of the XVI Int. Cosmic Ray Conference, IUPAP 6, 356‑361, Kyoto University Press, 1979.

6.      Baryon Pair Production   with   Large   Decay   Q‑value. Brazil‑Japan Emulsion Chamber   Collaboration, (with C.M.G. Lattes, Y.  Fujimoto  et  al). Proc. of   the   XVI Int. Cosmic Ray Conference, IUPAP Vol.6, 350‑355, Kyoto University Press, 1979.

7.       A New Terrestrial Test of General Relativity. (with E.C. de Oliveira), Atas do  II  Encontro  Nacional  de  Física  de Partículas  e  Campos,  201‑207, edited   by   Soc.  Brasileira de Física,1981.

8.      The One‑Way Velocity of Light, Distant Synchrony, the Cosmological Substratum   and Elementary Particle Physics, Atas do II Encontro Nacional de Física de Partículas  e Campos, 175‑200, edited  by  Sociedade  Brasileira  de Física, 1981.

9.      The Theory of Relativity and Breakdown of Lorentz‑Invariance, in S. Marinov and   J. P. Wesley (eds.), Proc. Int. Conf. on Space‑Time Absoluteness, East‑West Publ.  Company, Graz, Austria), 137‑146, 1982.

10.  On the Proposed Kolen‑Torr Experiment, (with J. Tiomno), Proc. Int. Conf. on        Space‑Time Absoluteness, in S. Marinov and J. P.  Wesley (eds.), East‑West Publ.Co., Graz, Austria, 147‑150, 1982.

11.  A Model‑Theory for Tachyons in Two‑Dimensions, (with E. Recami), in J. Weber and T.M. Karade (eds.), Gravitational Radiation and Relativity, pp.175‑201, World  Scientific Publ. Co., Singapore, 1985. MR 87h:83003

12.  Magnetic Monopoles without Strings by Kahler‑Clifford Algebras (with A.Maia Jr., E.Recami, and M.A. Faria Rosa), in M. Novello (ed.), Proc. of the 6thSimposio Latino Americano de Relatividad y Gravitacion, pp. 320‑332, World Scientific Press,  1988.

13.  Mathematical Physics of the Generalized Monopole without String, (with A.Maia Jr., E.Recami and M.A.Faria Rosa), in E. Recami, W.A. Rodrigues and T.Karade (eds.),  Proc. of the Conf. on  Global Mathematical  Physics,  pp. 1‑44, Einstein Found. Int. Publ., Nagpur, 1989. MR 89d:53126

14.  The Classical Problem of the Charge and Pole Motion. A Satisfactory Formalism by Clifford Algebras. (with A. Maia Jr., E. Recami, and M.A. Faria Rosa), in  M. Toller,   M. Cerdonio, M. Francaviglia and  R. Cianci  (eds.), 8th.  Italian Conference on General Relativity and Gravitational Physics, pp. 458‑465, World Scientific, Singapore, 1989. MR 92f:81052

15.  Formal Structures and the Concepts of Covariance, Invariance, and the Principle of Relativity, (with M. Scanavini and L.P. de Alcantara), in M.C. Duffy (ed.), Proc. of the Conference: Physical Interpretation of Relativity Theory, Vol. II, pp. 138‑147 the      British Society for the Philosophy of Science, London, 1989.

16.  Privileged Reference Frames in General Relativity, (with M. Scanavini), in M.C.  Duffy (ed.), Proceedings of the Conference: Physical Interpretations of Relativity Theory, Vol. II, pp.148‑153, British Society for the Philosophy of Science, London, 1989.

17.  A New Approach to the Spinor Structure of Space‑Time, (with V.L. Figueiredo), in M. Toller, M. Cerdonio, M. Francaviglia and R. Cianci (eds.), 8th. Italian Conference on General Relativity and Gravitational Physics, pp.467‑471, World Scientific, Singapore, 1989. MR 92f:83054

18.  About Magnetic Monopoles without a String, (with E. Recami), in M. Mijatovic (ed.), Hadronic Mechanics and Non Potential Interactions, pp. 217‑229, Nova Science Publ. Inc., N.Y., 1989.

19.  On the Validity of the Principle of Relativity, (with M.E.F. Scanavini), Inediti 13, Andromedra Editrice, Bologna, Italia, 1989; second edition, 1990.

20.  The Status of the Principle of Relativity, in U.  Bartocci and J.P. Wesley (eds.).  Proc. of the Conference: Foundations of Mathematics and Physics in the XX Century. Renounce to the Intuition, pp. 221‑229, B. Wesley Publ. Comp. (1990).

21.  A Clifford Bundle Approach to Gravitational Theory, (with Q.A.G. de Souza). in J. C.  D’Olivo, E. Nahmad‑Achar, M. Rosenbaum and M.  Ryan, Jr., L.F. Urrutia and F. Zertuche (eds.), Proc. of the 7th. Simposio Latino Americano de  Relatividad y Gravitacion, SILARG VII, pp. 220‑226, World  Scientific  PublComp., 1991. MR 94d:83050

22.  Free Maxwell Equations, Dirac Equation and Non‑Dispersive de Broglie Wavepackets,  (with E. Recami and J.Vaz, Jr.), in G. Lochak and P. Lochak (eds.), Courants, Amers, Écueils en Microphysique, pp. 379‑392, Fond. L. d e Broglie, Paris, 1993. MR 1328 683

23.  Unobservability of the Sign Change of Spinors Under a 2p Rotation in Neutron Inter-ferometric Experiments, (with J.E. Maiorino and J.R.R. Zeni), Atas XII Encontro  de Física de Particulas e Campos, pp. 209‑213 Soc. Bras. Física, 1993.

24.  On Feynman’s Proof of Maxwell Equations and Magnetic Monopoles, (with A. Maia,    Jr.), Atas do XII Encontro de Física de Partículas e Campos, pp. 196‑199, Soc. Bras.  Física, 1993.

25.  Zitterbewegung and Electron Structure (with J.Vaz Jr.), in R. Delanghe and H.Serras   (eds.), Proc. III Workshop on Clifford Algebras and their Applications in Mathematical Physics, pp. 397‑404, Kluwer Acad. Publ., Dordrecht, 1993. MR 1 266 890

26.  A Basis for Double Solution Theory (with J.Vaz, Jr.), in R. Delanghe and H. Serras      (eds.) Proc. III Workshop on Clifford Algebras and their Applications in Mathemaical Physics, 345‑352, Kluwer Acad. Publ., Dordrecht, 1993.

27.  The Dirac Operator and the Structure of Riemann‑Cartan‑Weyl Spaces. (with Q.A.G.    de Souza), P. Letelier and W. A. Rodrigues Jr. (eds.), Gravitation. The Spacetime    Structure. Proc. SILARG VIII, pp. 177‑210, World Scientific Publ. Co.,1994. MR   95m:58116

28.  Lagrangian Formulation in the Clifford Bundle of the Dirac ‑ Hestenes Equation on a    Riemann‑Cartan Manifold (with Q. A. G. de Souza and J.Vaz, Jr.), P. Letelier and W.  A. Rodrigues, Jr. (eds.), Gravitation. The Spacetime Structure. Proc. SILARG VIII, pp. 522‑531, World Scientific Publ. Co., 1994. MR 95m:53101

29.  About the Equations of Electromagnetism and Quantum Mechanics (with J.Vaz, Jr.), P. Letelier and W. A. Rodrigues, Jr. (eds.), Gravitation. The Spacetime Structure. ProcSILARG VIII, pp. 211‑215, World Scientific Publ. Co., 1994. MR 95k:81054

30.  Micro‑Universes and “Strong Black‑Holes”: A Purely Geometric Approach to Elementary Particles (with E. Recami, F. Raciti and V. T. Zanchin), P. Letelier and W. A. Rodrigues, Jr. (eds.), Gravitation. The Spacetime Structure. Proc.  SILARG VIII, pp. 346‑363, World Scientific Publ. Co., 1994.

31.  A Quantum Spin‑Orbit Gravitational Coupling (with R.L. Monaco and G. Cabrera), P.  Letelier and W. A. Rodrigues Jr. (eds.), Gravitation. The Spacetime Structure. Proc.   SILARG VIII, pp. 364‑368, World Scientific Publ. Co., 1994. MR 1 313 066

32.  Spinor Fields and Superfields as Equivalence Classes of Exterior Algebra Fields, (with Q.A.G. de Souza and J. Vaz Jr.), in R. Ablamowicz and P. Lounesto (eds.), Clifford    Algebras and Spinor Structure. CrumeyrolleMemorial Volume, pp. 177-198, Kluwer   Acad. Publ., Dordrecht, 1995.  MR 98m:81065

33.  Spinors as Differential Forms, and Applications to Electromagnetism and Quantum Mechanics (with J. Vaz Jr.) in P. I. Pronin and G. A. Sardanashvili (eds.), Particles, Gravity and Spacetime, pp 303-344, World Scient. Publ. Co., 1996. MR  98f:53014

34.  Is there any Relationship between Maxwell and Dirac Equations?, (with  J. Vaz Jr.), in J.  Dowling (ed.), Proc. NATO Conference: Electron Theory and Quantum Eletrodynamics-100 Years Later, pp. 327-338, Plenum Publ. Corp., New York, 1997.

35.  Clifford Algebras, Supercalculus and Spinning Particle Models, (with J. Vaz Jr.), in J. Dowling (ed.), Proc. NATO Conference: Electron Theory and Quantum Eletrodynamics-100 Years Later, pp. 201-222, Plenum Publ. Corp., New York, 1997.

36.  v ¹ c Solutions of the Homogeneous (Scalar) Wave Equation and Maxwell and Weyl  Equations and v ³ c Solutions of the Klein-Gordon and Dirac Equation, (with J.E. Maiorino), in   M. C. Duffy (ed.), Proc. of the Conf.: Physical Interpretations of Relativity Theory, vol. 2, pp. 248-260, British Soc. Philosophy of Science, London, 1997.

37.  Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum (with J. Vaz, Jr.), invited talk at the IV Workshop on Clifford Algebras and their Applications to    Mathematical Physics, Aachen, May 1996, in V. Dietrich, K. Habetha and G. Jank (eds.), Clifford Algebras and their Applications in Math. Phys., pp 319-346, Kluwer Acad. Publ., 1998. MR 98k:81100

38.  Maxwell Theory is Still a Source of Surprises (with J. Emílio Maiorino), in V.  Dvoeglazov (ed.), Photon: Old Problems in the Light of New Ideas. Series: Contr. Fund. Physics, pp. 96-113, 1999.

39.  Faster than Light?, in L. Conti and M. M. Capria (eds.), La Scienza e i Vortici del Dubio, Edizione Scientifiche Italiane, 1999.

40.  Mais rápido que a luz?, Simposium David Bohm 1999, in  O. Pessoa, Jr. (ed.), Fund.   Física 1, 27-42, Ed. Liv. Física USP, 2000.

41.  Covariant Derivatives on Minkowski Manifolds (with V. V. Fernández and A. M. Moya), in R.Ablamowicz and B. Frauser (eds.), Proc. V International Workshop on   Clifford Algebras and their Appl. in Math. Phys., pp.367-391, Birkhauser, Boston, 2000. MR 2007i:53035

42.  Debate: A Interface entre a Teoria Quântica e Relatividade (H. Brown, B. Haley, C. Tsallis, N. Pinto Neto, G. Svetlichny, A. Grib, R. Baginski dos Santos, O. Pessoa Jr., and W. A. Rodrigues Jr.), Simpósio D. Bohm 1999, Fund. Física 2, 111-128, Ed. Liv. Física USP, 2001.

43.  Finite Energy Superluminal Solution of te Maxwell Equations (in Portuguese), with E. C. de Oliveira, Selecta of the XXIV National Congress of Applied and Computational Mathematics, Part I, TEMA, Tend. Mat. Apl. Comp. 3, 165-171 (2002). MR20021257

44.  Diffeomorphism Invariance and Local Lorentz Invariance (with R. da Rocha),  to appear Proc. Vii International Workshop on   Clifford Algebras and their Appl. in Math. Phys., Birkhauser, Boston, 2007.  (plenary talk), Toulouse 2005,  [http://arxiv.org/abs/math-ph/0510026]

 

 

 

C. Books

 

 

1.      E. Recami, T. M. Karade and W. A. Rodrigues, Jr. (eds.), Recent Developments in     Relativity, vol.1, Proc. of the Global Conference on Mathematical Physics. Cent. Celebrations of Niels Bohr and Hermann Weyl, held at Nagpur, India during 1987, Einstein Foundation International, Nagpur, India, 1988.

2.      P. Letelier and W. A. Rodrigues, Jr. (eds.), Gravitation. The Spacetime Structure. Proc.   SILARG VII, World Scientific Publ. Co. (1994) (540 pages). MR 98h:00014

3.      J. Lawrynowicz and W. A. Rodrigues, Jr. (eds.), Generalizations of Complex Analysis and their Applications in Physics, vol 1, Proc. of a Symposium held at Warsaw and Rynia, May 30/July 1, 1994, Bull. Soc. Sci. Lódz. Sér. Rech Déform. 19, 1-139, (1995). MR 97c:00040

4.      B. Apanasov, S. Bradlow, W. A. Rodrigues Jr. and K. Uhlembeck (eds.), Geometry, Topology and Physics. Proc. First Brasil/USA Workshop, W. de Gruyter & Co., Berlin (ISBN 3-11-015594-X) (1997) (360 pages). MR 98k:00014

5.      A. A. Grib and W. A. Rodrigues Jr., Nonlocality in Quantum Physics, Kluwer Academic/Plenum Publishing, New York, (ISBN 0-306-46182-X) (1999) (222 pages).

6.      Yu. N. Gnedin, A. A. Grib, V. M. Mostephanenko and W. A. Rodrigues, Jr., Proc. of the Fourth Alexander Friedmann International Seminar on Gravitation and  Cosmology, St.  Petersburg, Russia, IMECC-UNICAMP Publ. (ISBN 85-87185-01-2), (1999) (480 pages).

7.      E. Capelas de Oliveira and W. A. Rodrigues, Jr., Introdução às Variáveis Complexas e Aplicações, Coleção IMECC vol.1, IMECC-UNICAMP Publ. (ISBN 85-87185-02-0), first edition (1999), second revised edition (2000), (274 pages),

8.       E. Capelas de Oliveira and W. A. Rodrigues, Jr., Funções Analíticas com Aplicações, Editora da Física, São Paulo, 2006. ISBN: 85-88325-53-5

9.      W. A. Rodrigues Jr. and E. Capelas de Oliveira, The Many Faces of Maxwell, Dirac and Einstein Equations. A Clifford Bundle Approach (445 pages), Lecture Notes in Physics 722, Springer, New York, 2007.

10.  Virginia V. Fernández and Waldyr A. Rodrigues Jr., Gravitation as a Plastic Distortion of the Lorentz Vacuum, Fundamental Theories of Physics vol.168, Springer, Heidelberg, 2010.