Tunneling effect between radial electric wells in a homogeneous magnetic field

DOI10.1007/s11005-024-01781-4arXiv2309.15713OpenAlexW4391808521MaRDI QIDQ6123421

Léo Morin

Publication date: 4 March 2024

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

Full work available at URL: https://arxiv.org/abs/2309.15713

zbMATH Keywords

magnetic fieldspectral gaptunnelingsemiclassical limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Tunneling in quantum theory (81U26)

Cites Work

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• Spectral stability under tunneling
• Convergent expansions for tunneling
• Semi-classical analysis for the Schrödinger operator and applications
• Tunneling estimates for magnetic Schrödinger operators
• Semiclassical tunneling and magnetic flux effects on the circle
• Purely magnetic tunneling effect in two dimensions
• Tunneling effect induced by a curved magnetic edge
• Multiple wells in the semi-classical limit I
• Lower Bound on Quantum Tunneling for Strong Magnetic Fields

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