Exact, zero-energy, square-integrable solutions of a model related to the Maxwell's fish-eye problem

DOI10.1016/j.aop.2009.09.012zbMath1179.81091OpenAlexW2061465535MaRDI QIDQ1047689

Adam J. Makowski

Publication date: 5 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.aop.2009.09.012

zbMATH Keywords

quantum-classical correspondencefish-eye modelzero-energy solutions

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

New classes of exact solutions to three-dimensional Schrödinger equation ⋮ Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman–Kac (well) potentials

Cites Work

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• Isolated versus nonisolated periodic orbits in variants of the two-dimensional square and circular billiards
• Asymptotic behaviour of a particle in a uniformly expanding potential well
• Fractional and integer angular momentum wavefunctions localized on classical orbits: the case ofE= 0

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