Research | Prof. Stefano De Leo



Pubblications List


1992-2021 - number: 103



[1] Quaternion scalar field
S. De Leo and P. Rotelli, Physical Review D 45, 575-579 (1992).

[2] Translations between quaternion and complex quantum mechanics
S. De Leo and P. Rotelli, Progress Theoretical Physics 92, 917-926 (1994).

[3] Representations of U(1,q) and constructive quaternion tensor product
S. De Leo and P. Rotelli, Nuovo Cimento B 110, 33-51 (1995).

[4] Quaternion Higgs and the electroweak gauge group
S. De Leo and P. Rotelli, International Journal of Modern Physics A 10, 4359-4370 (1995).

[5] Duffin-Kemmer-Petiau equation on the quaternion field
S. De Leo, Progress Theoretical Physics 94, 1109-1120 (1995).

[6] The quaternionic Dirac Lagrangian
S. De Leo and P. Rotelli, Modern Physics Letters A 11, 357-366 (1996).

[7] Quaternion and special relativity
S. De Leo, Journal of Mathematical Physics 37, 2955-2968 (1996).

[8] Quaternions for GUTs
S. De Leo, International Journal of Theoretical Physics 35, 1821-1837 (1996).

[9] One component Dirac equation
S. De Leo, International Journal of Modern Physics A 11, 3973-3985 (1996).

[10] Quaternionic electroweak theory
S. De Leo and P. Rotelli, Journal of Physics G 22, 1137-1150 (1996).

[11] Half-whole dimensions in quaternionic quantum mechanics
S. De Leo, Progress Theoretical Physics 95, 1029-1039 (1996).

[12] Odd dimensional translation between complex and quaternionic quantum mechanics
S. De Leo and P. Rotelli, Progress Theoretical Physics 96, 247-255 (1996).

[13] Octonionic quantum mechanics and complex geometry
S. De Leo and K. Abdel-Khalek, Progress Theoretical Physics 96, 823-831 (1996).

[14] Octonionic Dirac equation
S. De Leo and K. Abdel-Khalek, Progress Theoretical Physics 96, 833-845 (1996).

[15] Octonionic representations of GL(8,R) and GL(4,C)
S. De Leo and K. Abdel-Khalek, Journal of Mathematical Physics 38, 582-598 (1997).

[16] Quaternionic electroweak theory and CKM matrix
S. De Leo, International Journal of Theoretical Physics 36, 1165-1177 (1997).

[17] Quantum mechanics: from complex to complexified quaternions
S. De Leo and W. Rodrigues, International Journal of Theoretical Physics 36, 2725-2757 (1997).

[18] Breaking the simmetry in bimodal frequency distributions of globally coupled oscillators
J. Acebron, L. Bonilla, S. De Leo and R. Spigler, Physical Review E 57, 5287-5290 (1998).

[19] Quaternionic electron theory: Dirac's equation
S. De Leo and W. Rodrigues, International Journal of Theoretical Physics 37, 1511-1529 (1998).

[20] Quaternionic electron theory: geometry, algebra and Dirac's spinors
S. De Leo and W. Rodrigues, International Journal of Theoretical Physics 37, 1707-1720 (1998).

[21] Toward an octonionic world
S. De Leo and K. Abdel-Khalek, International Journal of Theoretical Physics 37, 1945-1985 (1998).

[22] Neutrino chiral oscillations
S. De Leo and P. Rotelli, International Journal of Theoretical Physics 37, 2193-2206 (1998).

[23] Complex geometry and Dirac equation
S. De Leo, W. Rodrigues and J. Vaz, International Journal of Theoretical Physics 37, 2415-2431 (1998).

[24] Quaternionic groups in physics
S. De Leo and G. Ducati, International Journal of Theoretical Physics 38, 2197-2220 (1999).

[25] Dirac-Hestenes Lagrangian
S. De Leo, Z. Oziewicz, W. Rodrigues and J. Vaz, International Journal of Theoretical Physics 38, 2349-2369 (1999).

[26] Right eigenvalue equation in quaternionic quantum mechanics
S. De Leo and G. Scolarici, Journal of Physics A 33, 2971-2995 (2000).

[27] The quaternionic determinant
N. Cohen and S. De Leo, Electronic Journal of Linear Algebra 7, 100-111 (2000).

[28] Remarks upon the mass oscillation formulas
S. De Leo, G. Ducati and P. Rotelli, Modern Physics Letters A 15, 2057-2068 (2000).

[29] Quaternionic Lorentz group and Dirac equation
S. De Leo, Foundations of Physics Letters 14, 37-50 (2001).

[30] Quaternionic differential operators
S. De Leo and G. Ducati, Journal of Mathematical Physics 42, 2236-2265 (2001).

[31] Quaternionic potentials in non relativistic quantum mechanics
S. De Leo, G. Ducati and C. Nishi, Journal of Physics A 35, 5411-5426 (2002).

[32] Timelapse
S. De Leo and P. Rotelli, JETP Letters 76, 56-60 (2002).

[33] Quaternionic eigenvalue problem
S. De Leo, G. Scolarici and L. Solombrino, Journal of Mathematical Physics 43, 5815-5829 (2002).

[34] Solving simple quaternionic differential equations
S. De Leo and G. Ducati, Journal of Mathematical Physics 44, 2224-2233 (2003).

[35] Quaternionic analyticity
S. De Leo and P. Rotelli, Applied Mathematics Letters 16, 1077-1081 (2003).

[36] Real linear quaternionic differential operators
S. De Leo and G. Ducati, Computer and Mathematics with Applications 48, 1893-1903 (2004).

[37] Wave packets and quantum oscillations
S. De Leo, C. Nishi and P. Rotelli, International Journal of Modern Physics A 19, 677-694 (2004).

[38] Amplification of coupling for Yukawa potentials
S. De Leo and P. Rotelli, Physical Review D 69, 034006-5 (2004).

[39] Survival law in a potential model
S. De Leo and P. Rotelli, Physical Review A 70, 022101-11 (2004).

[40] An analytic approach to the wave packet formalism in oscillation phenomena
A. Bernardini and S. De Leo, Physical Review D 70, 053010-9 (2004).

[41] Dirac spinors and flavor oscillations
A. Bernardini and S. De Leo, European Physical Journal C 37, 471-480 (2004).

[42] Above barrier potential diffusion
A. Bernardini, S. De Leo and P. Rotelli, Modern Physics Letters A 19, 2717-2725 (2004).

[43] Oscilação quântica de sabores com pacotes de ondas
A. Bernardini and S. De Leo, Revista Brasileira de Ensino de Física 26, 335-350 (2004).

[44] Flavor and chiral oscillations
A. Bernardini and S. De Leo, Modern Physics Letters A 20, 681-689 (2005).

[45] Quaternionic bound states
S. De Leo and G. Ducati, Journal of Physics A 38, 3443-3454 (2005).

[46] Flavor and chiral oscillations with Dirac wave packets
A. Bernardini and S. De Leo, Physical Review D 71, 076008-12 (2005).

[47] Tunnelling through two barriers
S. De Leo and P. Rotelli, Physics Letters A 342, 294-298 (2005).

[48] Uma discussão sobre oscilações quirais e inversão de spin
A. Bernardini and S. De Leo, Revista Brasileira de Ensino de Física 27, 507-515 (2005).

[49] Above barrier Dirac multiple scattering and resonances
S. De Leo and P. Rotelli, European Physical Journal C 46, 551-558 (2006).

[50] Barrier paradox in the Klein zone
S. De Leo and P. Rotelli, Physical Review A 73, 042107-7 (2006).

[51] Analytic plane wave solutions for the quaternionic potential step
S. De Leo, G. Ducati and T. Madureira, Journal of Mathematical Physics 47, 082106-15 (2006).

[52] Quaternionic diffusion by a potential step
S. De Leo and G. Ducati, Journal of Mathematical Physics 47, 102104-9 (2006).

[53] Zeros of unilateral quaternionic polynomials
S. De Leo, G. Ducati and V. Leonardi, Electronic Journal of Linear Algerba 15, 297-313 (2006).

[54] Quaternionic wave packets
S. De Leo and G. Ducati, Journal of Mathematical Physics 48, 052111-10 (2007).

[55] Dirac equation studies in the tunneling energy zone
S. De Leo and P. Rotelli, European Physical Journal C 51, 241-247 (2007).

[56] Bound state inequality for high mass exchanges in a scalar field model
S. De Leo and P. Rotelli, European Physical Journal C 53, 659-666 (2008).

[57] Fermion-fermion bound state condition for scalar exchanges
S. De Leo and P. Rotelli, Physical Review D 78, 025006-7 (2008).

[58] Localized beams and dielectric barriers
S. De Leo and P. Rotelli, Journal of Optics A 10, 115001-5 (2008).

[59] Potential scattering in Dirac field theory
S. De Leo and P. Rotelli, European Physical Journal C 62, 793-797 (2009).

[60] Planar Dirac diffusion
S. De Leo and P. Rotelli, European Physical Journal C 63, 157-162 (2009).

[61] A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics,
S. De Leo, G. Ducati, V. Leonardi, and K. Pereira Journal of Mathematical Physics 51, 113504-10 (2010).

[62] Laser interaction with a dielectric block
S. De Leo and P. Rotelli, European Physical Journal D 61, 481-488 (2011).

[63] A new phase time formula for opaque barrier tunneling
S. De Leo and V. Leonardi, Journal Physics A 44, 085305-9 (2011).

[64] Relativistic tunneling through opaque barriers
S. De Leo and V. Leonardi, Physical Review A 83, 022111-5 (2011).

[65] Wave and particle limit for multiple barrier tunneling
S. De Leo and P. Rotelli, Journal Physics A 44, 435305-15 (2011).

[66] Graphene tests of Klein phenomena
S. De Leo and P. Rotelli, Journal Physics A 44, 475305-9 (2011).

[67] Resonant laser tunneling
S. De Leo and P. Rotelli, European Physical Journal D 65, 563-570 (2011).

[68] Delay time in quaternionic quantum mechanics
S. De Leo and G. Ducati, Journal of Mathematical Physics 53, 022102-8 (2012).

[69] The octonionic eigenvalue problem
S. De Leo and G. Ducati, Journal Physics A 45, 315203-17 (2012).

[70] Relative helicity phases in planar Dirac scattering
S. De Leo and P. Rotelli, Physical Review A 86, 032113-5 (2012).

[71] A study of transit times in Dirac tunneling
S. De Leo, Journal of Physics A 46, 155306-11 (2013).

[72] Light transmission thorugh a triangular air gap
S. Carvalho and S. De Leo, Journal of Modern Optics 60, 437-443 (2013).

[73] Resonance, multiple diffusion and critical tunneling for Gaussian lasers
S. Carvalho and S. De Leo, European Physical Journal D 67, 168-11 (2013).

[74] Antiparticles creation in tunneling
S. De Leo and P. Rotelli, International Journal of Modern Physics A 28, 1350129-9 (2013).

[75] The Snell law for quaternionic potentials
S. De Leo and G. Ducati, Journal of Mathematical Physics 54, 122109-9 (2013).

[76] The frequency crossover for the Goos–Hanchen shift
M. Araújo, S. Carvalho, and S. De Leo, Journal of Modern Optics 60, 1772-1780 (2013).

[77] The asymmetric Goos–Hanchen effect
M. Araújo, S. Carvalho, and S. De Leo, Journal of Optics 16, 015702-7 (2014).

[78] Dirac solutions for quaternionic potentials
S. De Leo and S. Giardino, Journal of Mathematical Physics 55, 022301-10 (2014).

[79] Maximal symmetry breaking at critical angle and closed form expression for angular deviations of the Snell law
M. Araújo, S. Carvalho, and S. De Leo, Physical Review A 90, 033844-11 (2014).

[80] Axial dependence of optical weak measurements in the critical region
M. Araújo, S. De Leo, and G. Maia, Journal of Optics 17, 035608-10 (2015).

[81] The use of the stationary phase method as a mathematical tool to determine the path of optical beams
S. Carvalho and S. De Leo, Americal Journal of Physics 83, 249-255 (2015).

[82] Quaternionic Dirac scattering
S. De Leo, G. Ducati, and S. Giradino, Journal of Physical Mathematics 6, 1000130-6 (2015).

[83] Hartree-Fock and random phase approximation theories in a many-fermion solvable model
G. Co' and S. De Leo, Modern Physics Letter A 30, 1550196-15 (2015).

[84] Closed form expression for the Goos-Haenchen lateral displacement
M. Araújo, S. De Leo, and G. Maia, Physical Review A 93, 023801-9 (2016).

[85] Transversal symmetry breaking and axial spreading modification for Gaussian optical beams
M. Araújo, S. De Leo, and M. Lima, Journal of Modern Optics 63, 417-427 (2016).

[86] Weak measurement of the composite Goos-Haenchen shift in the critical region
O. Santana, S. Carvalho, S. De Leo, and Luís de Araujo, Optics Letters 41, 3884-3887 (2016).

[87] Experimental confirmation of the transversal symmetry breaking in laser profiles
S. Carvalho, S. De Leo, J. Oliveira-Huguenin, and L. da Silva, Journal of Modern Opticcs 64, 280-287 (2017).

[88] Oscillatory behavior of light in the composite Goos-Haenchen shift
M. Araújo, S. De Leo, and G. Maia, Physical Review A 95, 053836-9 (2017).

[89] Optimizing weak measurements to detect angular deviations
M. Araújo, S. De Leo, and G. Maia, Annalen der Physik 529, 1600357-20 (2017).

[90] Optimizing power oscillations in an ellipsometric system
M. Araújo, S. De Leo, and G. Maia, Chinese Optics Letters 16, 031406-5 (2018).

[91] Optical weak measurements without removing the Goos-Haenchen phase
M. Araújo, S. De Leo, and G. Maia, Journal of Modern Optics 65, 837-846 (2018).

[92] Analytical and numerical analysis of the complete Lipkin–Meshkov–Glick hamiltoninan
G. Co' and S. De Leo, Internatioinal Journal of Modern Physics E 27, 1850039-18 (2018).

[93] Incidence angles maximizing the Goos-Haenchen shift in seismic data analysis
S. De Leo and R. Kraus, Pure and Applied Geophysics 175, 2023-2044 (2018).

[94] The effect of the geometrical optical phase on the propagation of Hermite-Gaussian beams thorugh transversal and parallel dielectric blocks
S. Carvalho, S. De Leo, Journal of Modern Optics 66, 548-556 (2019).

[95] Quaternionic perturbation theory
S. De Leo, G. Ducati, C. de Souza, European Physical Journal Plus 134, 113-125 (2019).

[96] Experimental evidence of laser power oscillations induced by the relative Fresnel (Goos-Haenchen) phase
S. Carvalho, S. De Leo, J. Huguenin, M. Martino, L. Silva, Laser Physics Letter 16, 065001-5 (2019).

[97] Power oscillations induced by the relative Goos-Haenchen phase
M. Araújo, S. De Leo, G. Maia, M. Martino, European Physical Journal D 73, 213-11 (2019).

[98] Lateral shifts and angular deviations of Gaussian optical beams reflected by and transmitted through dielectric blocks: a tutorial review
S. De Leo, G. Maia, Journal of Modern Optics 66, 2142-2194 (2019).

[99] The quaternionic Goos-Haenchen shift
S. De Leo and G. Ducati, European Physical Journal Plus 135, 733-12 (2020).

[100] Laser planar trapping
S. De Leo, Laser Physics Letter 17, 116001-10 (2020).

[101] Impact of COVID-19 Testing Strategies and Lockdowns on Disease Management Across Europe, South America, and the United STates: Analysis Using Skew-Normal Distributions
S. De Leo, JMIRx Med 2, e211269-27 (2021).

[102] Angular deviations: from a cubic equation to a universal closed formula to determine the peak position of reflected and (upper) transmitted beams
S. De Leo and A. Stefano, European Physical Journal Plus 136, 507-20 (2021).

[103] A modelling study across the Italian regions: Lockdown, testing strategy, colored zones, and skew-normal distributions. How a numerical index of pandemic criticality could be useful in tackling the CoViD-19.
S. De Leo and M. Araújo J. Med. Res. Health Sci. 4, 1357-1376 (2021).