60 citations · 263 across the 20 of their papers we have counts for
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On Peres approach to Fradkin-Bacry-Ruegg-Souriau's perihelion vector
Yves Grandati, Alain Berard, Herve Mohrbach
We solve explicitely the differential system obtained by Peres for the construction of a conserved vector associated to any central potential. We then obtain a very direct access t…
Botanical Ratchets
I. M. Kulić, M. Mani, H. Mohrbach +2
Ratcheting surfaces are a common motif in nature and appear in plant awns and grasses. They are known to profer selective advantages for seed dispersion and burial. In two simple m…
Bloch electrons interacting with an external electromagnetic field and Bloch electrons in interaction
Pierre Gosselin, Herve Mohrbach
We apply a general method developed recently for the derivation of the diagonal representation of an arbitrary matrix valued quantum Hamiltonian to the particular case of Bloch ele…
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…
Semiclassical quantization of electrons in magnetic fields: the generalized Peierls substitution
Pierre Gosselin, Hocine Boumrar, Herve Mohrbach
A generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment of electrons in a magnetic field. This substitutio…
Bohlin-Arnold-Vassiliev's duality and conserved quantities
Yves Grandati, Alain Berard, Herve Mohrbach
Bohlin-Arnold-Vassiliev's duality transformation establishes a correspondence between motions in different central potentials. It offers a very direct way to construct the dynamica…