On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrodinger Operators
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We construct almost invariant subspaces and the corresponding effective Hamiltonian for magnetic Bloch bands. We also discuss the question of the dynamics related to the effective Hamiltonian. We assume that the magnetic and electric potentials are slowly varying perturbations of the potential of a constant magnetic field and a periodic lattice potential, respectively.
Keywords
Cite
@article{arxiv.math-ph/0401017,
title = {On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrodinger Operators},
author = {M. Dimassi and J. -C. Guillot and J. Ralston},
journal= {arXiv preprint arXiv:math-ph/0401017},
year = {2007}
}