Intermediate statistics as a consequence of deformed algebra

A. Lavagno and P. Narayana Swamy

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 5, 993-1001

Abstract: We present a formulation of deformed oscillator algebra which leads to intermediate statistics as a continuous interpolation between Bose–Einstein and Fermi–Dirac statistics. It is deduced that a generalized permutation or exchange symmetry leads to the introduction of the basic number and it is then established that this in turn leads to the deformed algebra of oscillators. We obtain the mean occupation number describing the particles obeying intermediate statistics which thus establishes the interpolating statistics and describe boson-like and fermion-like particles obeying intermediate statistics. We also obtain an expression for the mean occupation number in terms of an infinite continued fraction, thus clarifying successive approximations.

Keywords: Intermediate statistics; q-deformed algebra; Thermostatistics (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:5:p:993-1001

DOI: 10.1016/j.physa.2009.11.008

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