A number-theoretic problem about energy levels of a perturbed harmonic oscillator

DOI10.1016/0021-9045(85)90081-4zbMath0573.10040OpenAlexW2090053154MaRDI QIDQ1063065

Meinhard Peters

Publication date: 1985

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90081-4

zbMATH Keywords

sums of squaresenergy spectrumquadratic diophantine equationsdegeneracy-setisotropic quantum oscillator

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Quadratic and bilinear Diophantine equations (11D09) General models, approaches, and methods in mechanics of particles and systems (70G99)

Cites Work

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• On the simultaneous representation of a pair of numbers by sums of integers and their squares
• On the properties of a new classification of partitions into at most three parts
• Hidden symmetry and the number-theoretic structure of the energy levels of a perturbed harmonic oscillator
• Number-theoretic degeneracy of the energy levels of a perturbed N- dimensional isotropic harmonic oscillator
• Über die simultane Darstellung zweier ganzer Zahlen durch quadratische und lineare Formen

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