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

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

2007-10-03

arxiv.org/abs/0710.0841v3

SIGMA 3:112,2007

Physics

Quantum Physics

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2007.112

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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