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Thermostatistics of Deformed Bosons and Fermions

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Abstract

Based on the q-deformed oscillator algebra, we study the behavior of the mean occupation number and its analogies with intermediate statistics and we obtain an expression in terms of an infinite continued fraction, thus clarifying successive approximations. In this framework, we study the thermostatistics of q-deformed bosons and fermions and show that thermodynamics can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are replaced by the use of an appropriate Jackson derivative and q-integral. Moreover, we derive the most important thermodynamic functions and we study the q-boson and q-fermion ideal gas in the thermodynamic limit.

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Authors and Affiliations

  1. Dipartimento di Fisica, Politecnico di Torino and INFN - Sezione di Torino, 10129, Torino, Italy

    A. Lavagno

  2. Physics Department, Southern Illinois University Edwardsville, Edwardsville, IL, 62026, USA

    P. Narayana Swamy

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  1. A. Lavagno
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  2. P. Narayana Swamy
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Correspondence to A. Lavagno.

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Lavagno, A., Narayana Swamy, P. Thermostatistics of Deformed Bosons and Fermions. Found Phys 40, 814–828 (2010). https://doi.org/10.1007/s10701-009-9363-0

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