143 citations · 466 across the 10 of their papers we have counts for
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Quantization of soluble classical constrained systems
Zahir Belhadi, Ferhat Ménas, Alain Bérard +1
The derivation of the brackets among coordinates and momenta for classical constrained systems is a necessary step toward their quantization. Here we present a new approach for the…
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…
Spin Hall effect of Photons in a Static Gravitational Field
Pierre Gosselin, Alain Bérard, Herve Mohrbach
Starting from a Hamiltonian description of the photon within the set of Bargmann-Wigner equations we derive new semiclassical equations of motion for the photon propagating in stat…
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…
Spin Hall effect and Berry phase of spinning particles
Alain Bérard, Herve Mohrbach
We consider the adiabatic evolution of the Dirac equation in order to compute its Berry curvature in momentum space. It is found that the position operator acquires an anomalous co…
Bosons Doubling
H. Mohrbach, A. Berard, P. Gosselin
It is shown that next-nearest-neighbor interactions may lead to unusual paramagnetic or ferromagnetic phases which physical content is radically different from the standard phases.…