PLETHORA OF q-OSCILLATORS POSSESSING PAIRWISE ENERGY LEVEL DEGENERACY
2008 ◽
Vol 23
(13)
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pp. 921-932
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Keyword(s):
The Real
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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 Em = Em+1, m ≥ 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 E0 = Ek (where k ≥ 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.
1994 ◽
Vol 09
(36)
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pp. 3331-3337
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2006 ◽
Vol 06
(02)
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pp. 269-284
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2007 ◽
Vol 21
(18n19)
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pp. 3455-3458
Keyword(s):
2010 ◽
Vol 39
(7)
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pp. 1565-1570
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Keyword(s):
2020 ◽
Vol 54
(s1)
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pp. 45-52
Keyword(s):