18 citations · 18 across the 3 of their papers we have counts for
3 papers
math-ph2008
The Semi Classical Maupertuis-Jacobi Correspondance for Quasi-Periodic Hamiltonian Flows
Sergey Dobrokhotov, Michel Rouleux
We extend to the semi-classical setting the Maupertuis-Jacobi correspondance for a pair of hamiltonians . If is completely integrable,…
math-ph2004★ 18 cited
The Spectral Asymptotics of the Two-Dimensional Schrödinger operator with a Strong Magnetic Field
Jochen Bruening, Sergey Dobrokhotov, Konstantin Pankrashkin
We consider the spectral problem for the two-dimensional Schrödinger operator for a charged particle in strong uniform magnetic and periodic electric fields. The related classical…
cond-mat.mes-hall2002
The geometric structure of the Landau bands
J. Bruening, S. Yu. Dobrokhotov, V. A. Geyler +1
We have proposed a semiclassical explanation of the geometric structure of the spectrum for the two-dimensional Landau Hamiltonian with a two-periodic electric field without any ad…