Spectrum of Schrödinger operator in covering of elliptic ring

DOI10.3103/S0027132223050042OpenAlexW4389943129MaRDI QIDQ6155010

Unnamed Author

Publication date: 16 February 2024

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132223050042

zbMATH Keywords

stationary Schrödinger equationMathieu functionsLaplace operator spectrumeigenvalue dependence on focal distance

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx)

Cites Work

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• Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
• A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
• Eigenvalues of the Laplacian in Two Dimensions
• Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards

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