143 citations · 466 across the 10 of their papers we have counts for
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Inverse problem and Bertrand's theorem
Yves Grandati, Alain Bérard, Ferhat Menas
The Bertrand's theorem can be formulated as the solution of an inverse problem for a classical unidimensional motion. We show that the solutions of these problems, if restricted to…
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…
Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach
Pierre Gosselin, Fehrat Ménas, Alain Bérard +1
y formally diagonalizing with accuracy the Hamiltonian of electrons in a crystal subject to electromagnetic perturbations, we resolve the debate on the Hamiltonian nature o…