M. Dimassi, J.-C. Guillot, J. Ralston
On Effective Hamiltonians for Adiabatic Perturbations of Magnetic Schr\"odinger Operators
(154K, dvi, ps)
ABSTRACT. We construct almost invariant subspaces and the corresponding effective Hamiltonians 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.