Explicit formulas are worked out for the eigenvalue multiplicity of a systemof $n$ independent quantum harmonic oscillators in the general case of $1\leq s\leqn-1$ resonance relations among the frequencies$\om_1,\ldots,\om_n$. As a particular case we prove that, even though the quantumnumbers are always less than the degrees of freedom, the \ev s are in generalintrinsically degenerate only in the completely resonant case$s=n-1$.

Resonant harmonic oscillators and eigenvalue multiplicity / S., Graffi; Unguendoli, Francesco. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 27:(1994), pp. 4281-4293.

Resonant harmonic oscillators and eigenvalue multiplicity

UNGUENDOLI, Francesco
1994

Abstract

Explicit formulas are worked out for the eigenvalue multiplicity of a systemof $n$ independent quantum harmonic oscillators in the general case of $1\leq s\leqn-1$ resonance relations among the frequencies$\om_1,\ldots,\om_n$. As a particular case we prove that, even though the quantumnumbers are always less than the degrees of freedom, the \ev s are in generalintrinsically degenerate only in the completely resonant case$s=n-1$.
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4281
4293
Resonant harmonic oscillators and eigenvalue multiplicity / S., Graffi; Unguendoli, Francesco. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 27:(1994), pp. 4281-4293.
S., Graffi; Unguendoli, Francesco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/612470
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