6533b85afe1ef96bd12b98b1

RESEARCH PRODUCT

Quantum waveguides with magnetic fields

Stefan HaagJonas LampartStefan Teufel

subject

Physics010102 general mathematicsFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)01 natural sciencesConnection (mathematics)Magnetic field81Q37 58J90[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Quantum mechanics0103 physical sciences010307 mathematical physicsLimit (mathematics)0101 mathematicsAdiabatic processLaplace operatorQuantumMathematical Physics

description

International audience; 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.

yearjournalcountryeditionlanguage
2019-02-08
10.1142/s0129055x19500259http://arxiv.org/abs/1710.01518