Magnetic rings

DOI10.1063/1.5022121zbMath1390.81142arXiv1801.03810OpenAlexW2803712499MaRDI QIDQ4565424

Jean Dolbeault, Maria J. Esteban, Michael Loss, A. A. Laptev

Publication date: 12 June 2018

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

Full work available at URL: https://arxiv.org/abs/1801.03810

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear operator inequalities (47A63) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Hardy spaces (30H10)

Related Items (7)

On the sharp constant in the ``magnetic 1D embedding theorem ⋮ Calogero type bounds in two dimensions ⋮ Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields ⋮ Magnetic Lieb-Thirring inequalities on the torus ⋮ Magnetic Lieb–Thirring inequality for periodic functions ⋮ Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3 ⋮ On a class of sharp multiplicative Hardy inequalities

Cites Work

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• Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates
• Hardy inequalities with homogeneous weights
• Semiclassical tunneling and magnetic flux effects on the circle
• Interpolation inequalities and spectral estimates for magnetic operators
• Improved interpolation inequalities on the sphere
• Spectral estimates on the sphere
• One-Dimensional Interpolation Inequalities, Carlson–Landau Inequalities, and Magnetic Schrödinger Operators

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