On effective Hamiltonians for adiabatic perturbations of magnetic Schrödinger operators

Article type: Research Article

Authors: Dimassi, Mouez^; | Guillot, Jean‐Claude | Ralston, James

Affiliations: Département de Mathématiques, Université Paris 13, Villetaneuse, France E‐mails: [email protected]‐paris13.fr, [email protected]‐paris13.fr | University of California, Los Angeles, CA 90095, USA E‐mail: [email protected]

Note: [] Corresponding author.

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.

Journal: Asymptotic Analysis, vol. 40, no. 2, pp. 137-146, 2004