Number-theoretic degeneracy of the energy levels of a perturbed N- dimensional isotropic harmonic oscillator

DOI10.1016/0196-8858(81)90002-6zbMath0481.70019OpenAlexW2057613267MaRDI QIDQ1162373

N. Metropolis, James D. Louck

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0196-8858(81)90002-6

zbMATH Keywords

diophantine equationenergy levelsbarycentric coordinatesperturbed harmonic oscillatoraccidental degeneracymultipletdegeneracy-setN- dimensional isotropic harmonic oscillatorperturbed by quartic potential

Mathematics Subject Classification ID

Hamilton's equations (70H05) 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) Elementary theory of partitions (11P81) Linear Diophantine equations (11D04) Primes (11A41) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (1)

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

Cites Work

• 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
• Proof of the Ideal Waring Theorem for Exponents 7-180

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