Inequalities for means of chords, with application to isoperimetric problems

DOI10.1007/s11005-006-0053-yzbMath1111.35019arXivmath-ph/0508060OpenAlexW3106488440MaRDI QIDQ2433148

Pavel Exner, Michael Loss, Evans M. II. Harrell

Publication date: 27 October 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0508060

zbMATH Keywords

Schrödinger equationisoperimetric inequalitieselectrostaticssingular potential

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) Schrödinger operator, Schrödinger equation (35J10) Classical or axiomatic geometry and physics (51P05)

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Cites Work

• Schrödinger operators with singular interactions
• Geometrically induced spectrum in curved leaky wires
• An isoperimetric problem for leaky loops and related mean-chord inequalities
• An isoperimetric problem for point interactions
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