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arXiv · 0710.0841

Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels

Alexandre M. Gavrilik·Anastasiya P. Rebesh
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Abstract

A scheme is proposed which allows to obtain special $q$-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed $q,p$-oscillators and proceeds via appropriately chosen particular relation between $p$ and $q$. Different versions of quadratic relations $p=f(q)$ are utilized for the case which implies two degenerate pairs $E_1=E_2$ and $E_3=E_4$. On the other hand, using one fixed quadratic relation, we obtain $p$-oscillators with other cases of two pairs of (pairwise) degenerate energy levels.

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Alexandre M. Gavrilik, Anastasiya P. Rebesh. 2007-11-22. Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels. https://doi.org/10.3842/sigma.2007.112

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