Nodal-surface conjectures for the convex quantum billiard

DOI10.1063/1.530453zbMath0809.35092OpenAlexW2010470237WikidataQ123239248 ScholiaQ123239248MaRDI QIDQ4318002

Richard L. Liboff

Publication date: 29 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530453

zbMATH Keywords

mirror symmetryaxis of rotationnodal surface of the first-excited statepolyhedra quantum billiards

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Function-mixing hypothesis and quantum chaos ⋮ Nodal and other properties of the second eigenfunction of the Laplacian in the plane

Cites Work

• Diabolical points in the spectra of triangles
• The Eigenvalues of an Equilateral Triangle
• Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions
• The polygon quantum-billiard problem
• Circular-sector quantum-billiard and allied configurations

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