On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrodinger Operators

Details On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrodinger Operators On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schrodinger Operators

2004-01-08

arxiv.org/abs/math-ph/0401017v1

Physics

Mathematical Physics

Scientific paper

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.

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