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28 March 2024
 
  » arxiv » cond-mat/0111112

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Generalized thermodynamics of q-deformed bosons and fermions
A. Lavagno ; P. Narayana Swamy ;
Date 7 Nov 2001
Journal Phys.Rev. E65 (2002) 036101
Subject Statistical Mechanics | cond-mat.stat-mech hep-ph quant-ph
AbstractWe study the thermostatistics of q-deformed bosons and fermions obeying the symmetric algebra and show that it can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are replaced by an appropriate Jackson derivative. In this framework, we derive the most important thermodynamic functions describing the q-boson and q-fermion ideal gases in the thermodynamic limit. We also investigate the semi-classical limit and the low temperature regime and demonstrate that the nature of the q-deformation gives rise to pure quantum statistical effects stronger than undeformed boson and fermion particles.
Source arXiv, cond-mat/0111112
Other source [GID 559521] pmid11909159
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