60 citations · 223 across the 12 of their papers we have counts for
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Dirac Equation in the Magueijo-Smolin Approach of Double Special Relativity
Z. Belhadi, F. Ménas, A. Bérard +2
We reconsider in details the Dirac equation in the context of the Magueijo-Smolin approach to the Doubly Special Relativity. Starting from the deformed dispersion relation we obtai…
Quantum Hamiltonian diagonalization and Equations of Motion with Berry Phase Corrections
Pierre Gosselin, Alain Berard, Herve Mohrbach
It has been recently found that the equations of motion of several semiclassical systems must take into account anomalous velocity terms arising from Berry phase contributions. Tho…
Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
Pierre Gosselin, Alain Berard, Herve Mohrbach +1
We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum…
From Feynman Proof of Maxwell Equations to Noncommutative Quantum Mechanics
A. Bérard, H. Mohrbach, J. Lages +4
In 1990, Dyson published a proof due to Feynman of the Maxwell equations assuming only the commutation relations between position and velocity. With this minimal assumption, Feynma…
Semiclassical Dynamics of Dirac particles interacting with a Static Gravitational Field
Pierre Gosselin, Alain Bérard, Herve Mohrbach
The semiclassical limit for Dirac particles interacting with a static gravitational field is investigated. A Foldy-Wouthuysen transformation which diagonalizes at the semiclassical…
Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
Pierre Gosselin, Alain Bérard, Herve Mohrbach
It has been recently found that the equations of motion of several semiclassical systems must take into account terms arising from Berry phases contributions. Those terms are respo…