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$s=n-1$.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
