On an extension of the Iwatsuka model
Mathematical Physics
2017-01-30 v2 math.MP
Abstract
We prove absolute continuity for an extended class of two-dimensional magnetic Hamiltonians that were initially studied by A. Iwatsuka. In particular, we add an electric field that is translation invariant in the same direction as the magnetic field is. As an example, we study the effective Hamiltonian for a thin quantum layer in a homogeneous magnetic field.
Keywords
Cite
@article{arxiv.1601.02670,
title = {On an extension of the Iwatsuka model},
author = {Matej Tusek},
journal= {arXiv preprint arXiv:1601.02670},
year = {2017}
}