Plethora of q-oscillators possessing pairwise energy level degeneracy
| Autor: | Gavrilik, A. M., Rebesh, A. P. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Mod.Phys.Lett. A23, no.13 (2008), 921-932 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S021773230802687X |
| Popis: | Using the q,p-deformed oscillators as basic generating system, we obtain diverse classes (which form distinct sectors of functional continua) of novel versions of q-deformed oscillators, all of which share the property of "accidental" degeneracy within a fixed pair of energy levels E_{m} = E_{m+1}, m\ge 1, occurring at the real deformation parameter fixed by an appropriate value q(m) that depends on m and on particular model. Likewise, the degeneracy E_{0} = E_{k} (where k\ge 2) takes place, for properly fixed q=q(k), in most of those models. The formerly studied model of q-oscillator known as the Tamm-Dancoff cutoff deformed oscillator is contained in the continua as isolated special case. Comment: 11 pages, 6 figures; earlier published paper placed for archival purposes |
| Databáze: | arXiv |
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