Quantum waveguides with magnetic fields

DOI10.1142/S0129055X19500259zbMath1431.81068arXiv1710.01518MaRDI QIDQ5208850

Jonas Lampart, Stefan Teufel, Stefan Haag

Publication date: 22 January 2020

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01518

zbMATH Keywords

adiabatic limitmagnetic Schrödinger operatorquantum waveguide

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (1)

On Duclos–Exner’s conjecture about waveguides in strong uniform magnetic fields

Cites Work

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• The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces
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• Stability of the Magnetic Schrödinger Operator in a Waveguide

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