Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus

DOI10.1063/5.0088067OpenAlexW4280649699WikidataQ114103195 ScholiaQ114103195MaRDI QIDQ5883428

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Publication date: 21 March 2023

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

Full work available at URL: https://arxiv.org/abs/2205.15152

Mathematics Subject Classification ID

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

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• Estimates for the lowest eigenvalue of magnetic Laplacians
• On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator
• Spectral methods in surface superconductivity
• On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator in non-simply connected domains
• A new version of the Aharonov-Bohm effect
• On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator. III: Magnetic fields that change sign
• On the semiclassical spectrum of the Dirichlet-Pauli operator
• Significance of Electromagnetic Potentials in the Quantum Theory
• A Strong Converse to Gauss's Mean-Value Theorem
• A Guide to Spectral Theory

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