Quantum waveguides with magnetic fields
Mathematical Physics
2019-07-15 v2 math.MP
Abstract
We study generalised quantum waveguides in the presence of moderate and strong external magnetic fields. Applying recent results on the adiabatic limit of the connection Laplacian we show how to construct and compute effective Hamiltonians that allow, in particular, for a detailed spectral analysis of magnetic waveguide Hamiltonians. We apply our general construction to a number of explicit examples, most of which are not covered by previous results.
Keywords
Cite
@article{arxiv.1710.01518,
title = {Quantum waveguides with magnetic fields},
author = {Stefan Haag and Jonas Lampart and Stefan Teufel},
journal= {arXiv preprint arXiv:1710.01518},
year = {2019}
}