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arXiv · 0805.4173

Occurrence of pairwise energy level degeneracies in q,p-oscillator model

A. M. Gavrilik·A. P. Rebesh
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Abstract

It is demonstrated that a two-parameter deformed oscillator with the deformation parameters q,p such that 0 < q,p \le 1 exhibits the property of "accidental" two-fold (pairwise) energy level degeneracy of the classes E_m=E_{m+1} and E_0=E_{m}. The most general case of degeneracy of q,p-oscillators of the form E_{m+k}=E_m (with k\ge 1 for m\ge 1 or k\ge 2 for m=0) is briefly discussed.

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A. M. Gavrilik, A. P. Rebesh. 2008-05-27. Occurrence of pairwise energy level degeneracies in q,p-oscillator model. https://arxiv.org/abs/0805.4173

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