Hidden symmetry and the number-theoretic structure of the energy levels of a perturbed harmonic oscillator

DOI10.1016/0196-8858(80)90010-XzbMath0463.70016OpenAlexW2090465610MaRDI QIDQ1153700

N. Metropolis, James D. Louck

Publication date: 1980

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(80)90010-x

zbMATH Keywords

diophantine equationenergy levelsbarycentric coordinatesperturbed harmonic oscillatoraccidental degeneracydegeneracy-set

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Linear Diophantine equations (11D04) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

The spectrum of the Schrödinger operator and the distribution of primes, On the properties of a new classification of partitions into at most three parts, Number-theoretic degeneracy of the energy levels of a perturbed N- dimensional isotropic harmonic oscillator, A number-theoretic problem about energy levels of a perturbed harmonic oscillator

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