Alexandre M. Gavrilik, Anastasiya P. Rebesh
Published 2007-10-03, updated 2007-11-22Version 3
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.
Comments: This 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
Journal: SIGMA 3:112,2007
Entanglement in composite bosons realized by deformed oscillators
Coherent backscattering of intense light by cold atoms with degenerate energy levels: Diagrammatic treatment
Two-fermion composite quasi-bosons and deformed oscillators
![QR code for arXiv:0710.0841 [quant-ph]](http://oss.arxitics.com/images/favicon.svg)