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

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dc.creatorGavrilik, Alexandre M.
dc.creatorRebesh, Anastasiya P.
dc.date2007-10-03
dc.date2007-11-22
dc.date.accessioned2026-07-07T12:19:53Z
dc.date.available2026-07-07T12:19:53Z
dc.descriptionA 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.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ v2: minor corrections; v3: two refs. added
dc.identifierhttps://arxiv.org/abs/0710.0841
dc.identifierhttp://arxiv.org/abs/0710.0841
dc.identifierSIGMA 3:112,2007
dc.identifierdoi:10.3842/SIGMA.2007.112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212911
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleDeformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
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