 9465 Graffi S., Unguendoli F.
 Resonant Harmonic Oscillators and Eigenvalue Multiplicity
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Mar 16, 94

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Abstract. Explicit formulas are worked out for the eigenvalue multiplicity of a system
of $n$ independent quantum harmonic oscillators in the general case of $1\leq s\leq
n1$ resonance relations among the frequencies
$\om_1,\ldots,\om_n$. As a particular case we prove that, even though the quantum
numbers are always less than the degrees of freedom, the \ev s are in general
intrinsically degenerate only in the completely resonant case
$s=n1$.
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