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This article is cited in 5 scientific papers (total in 5 papers)
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
Alexandre M. Gavrilik, Anastasiya P. Rebesh Bogolyubov Institute for Theoretical Physics, 14-b Metrologichna Str., 03680 Kyiv, Ukraine
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.
Keywords:
$q,\!p$-deformed oscillators; $q$-oscillators; energy levels degeneracy; energy function.
Received: October 9, 2007; in final form November 13, 2007; Published online November 22, 2007
Citation:
Alexandre M. Gavrilik, Anastasiya P. Rebesh, “Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels”, SIGMA, 3 (2007), 112, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma238 https://www.mathnet.ru/eng/sigma/v3/p112
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Abstract page: | 186 | Full-text PDF : | 29 | References: | 34 |
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