Low-temperature thermostatistics of Tamm-Dancoff deformed boson oscillators

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Algin A., İlik E.

PHYSICS LETTERS A, vol.377, pp.1797-1803, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 377
  • Publication Date: 2013
  • Doi Number: 10.1016/j.physleta.2013.05.013
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1797-1803
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

We consider a specific deformed Bose gas model constructed by the so-called Tamm-Dancoff oscillators whose spectrum has exponential cutoff factors at high energies. We investigate, in the thermodynamical limit, the effects of Tamm-Dancoff type deformation on the low-temperature behavior of the system through a generalized Bose-Einstein distribution. In particular, we show that the Bose-Einstein condensation would occur in such a model just for values of the deformation parameter q in the range q > 1. Besides, from the Fock space representations of the model algebra, it is interestingly showed that the present boson model exhibits fermion-like behavior in the limit q -> infinity. (C) 2013 Elsevier B.V. All rights reserved.