Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Rebesh, A. P."'
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 305304
In this paper we propose a symmetric q-deformed Tamm-Dancoff (S-TD) oscillator algebra and study its representation, coordinate realization, and main properties. In particular, the non-Fibonacci (more exactly, quasi-Fibonacci) nature of S-TD oscillat
Externí odkaz:
http://arxiv.org/abs/1402.7241
Publikováno v:
Ukr. J. Phys., 2013, Vol. 58, no. 12, pp. 1182-1191
We review on and give some further details about the thermodynamical properties of the \mu-Bose gas model (arXiv:1309.1363) introduced by us recently. This model was elaborated in connection with \mu-deformed oscillators. Here, we present the necessa
Externí odkaz:
http://arxiv.org/abs/1401.4022
For the recently introduced \mu-deformed analog of Bose gas model (\mu-Bose gas model) we study some thermodynamical aspects. Namely, we calculate total number of particles and, from it, the deformed partition function, both involving dependence on t
Externí odkaz:
http://arxiv.org/abs/1309.1363
Autor:
Gavrilik, A. M., Rebesh, A. P.
Publikováno v:
Mod.Phys.Lett. A23, no.13 (2008), 921-932
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 with
Externí odkaz:
http://arxiv.org/abs/1306.6573
Autor:
Gavrilik, A. M., Rebesh, A. P.
Publikováno v:
Mod. Phys. Lett. B 26, No.5 (2012) 1150030 (13 pp)
In the study of many-particle systems both the interaction of particles can be essential and such feature as their internal (composite) structure. To describe these aspects, the theory of deformed oscillators is very efficient. Viewing the particles
Externí odkaz:
http://arxiv.org/abs/1111.7216
Autor:
Gavrilik, A. M., Rebesh, A. P.
Publikováno v:
Eur.Phys.J.A47:55,2011
The so-called \mu-deformed oscillator (or \mu-oscillator) introduced by A.Jannussis, though possesses rather exotic properties with respect to other better known deformed oscillator models, also has good potential for diverse physical applications. I
Externí odkaz:
http://arxiv.org/abs/1007.5187
Publikováno v:
J. Phys. A: Math. Theor. 43 (2010) 245204 (16pp)
We study the properties of sequences of the energy eigenvalues for some generalizations of q-deformed oscillators including the p,q-oscillator, the 3-, 4- and 5-parameter deformed oscillators given in the literature. It is shown that most of the cons
Externí odkaz:
http://arxiv.org/abs/1002.0601
Autor:
Gavrilik, A. M., Rebesh, A. P.
Publikováno v:
J. Phys. A: Math. Theor. 43 (2010) 095203 (15pp)
A family of multi-parameter, polynomially deformed oscillators (PDOs) given by polynomial structure function \phi(n) is studied from the viewpoint of being (or not) in the class of Fibonacci oscillators. These obey the Fibonacci relation/property (FR
Externí odkaz:
http://arxiv.org/abs/0910.2680
Autor:
Gavrilik, A. M., Rebesh, A. P.
Publikováno v:
Ukr. J. Phys. 53 (2008) 586-594
It is demonstrated that a two-parameter deformed oscillator with the deformation parameters q,p such that 0 < q,p \le 1 exhibits the property of "accidental" two-fold (pairwise) energy level degeneracy of the classes E_m=E_{m+1} and E_0=E_{m}. The mo
Externí odkaz:
http://arxiv.org/abs/0805.4173
Publikováno v:
SIGMA 3:112,2007
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 p
Externí odkaz:
http://arxiv.org/abs/0710.0841