Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop

DOI10.1016/S0393-0440(01)00071-7zbMath1083.35034arXivmath-ph/0103029OpenAlexW2515081664MaRDI QIDQ1602448

Kazushi Yoshitomi, Pavel Exner

Publication date: 23 June 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0103029

zbMATH Keywords

eigenvaluesdelta interaction on a smooth curveSchrödinger operator in two dimensionsstrong coupling estimates

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• On the semiboundedness of \(\delta\)-perturbations of the Laplacian supported by curves with angle points
• Schrödinger operators with singular interactions
• Band gap of the spectrum in periodically curved quantum waveguides
• Geometrically induced spectrum in curved leaky wires
• Finitely many sphere interactions in quantum mechanics: Nonseparated boundary conditions

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