Schrödinger equation for convex plane polygons. II. A no-go theorem for plane waves representation of solutions

DOI10.1063/1.530080zbMath0780.35083OpenAlexW1971797087MaRDI QIDQ3141339

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Publication date: 6 December 1993

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

Full work available at URL: https://doi.org/10.1063/1.530080

zbMATH Keywords

eigensolutions of the Schrödinger equationplane convex polygonal domainrepresentation in terms of analytic functions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Ergodic theorems, spectral theory, Markov operators (37A30) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (1)

The polygon quantum-billiard problem

Cites Work

• Pseudointegrable systems in classical and quantum mechanics
• Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions

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