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Modern Physics Letters B

A DEFORMED BOSE-EINSTEIN GAS NEAR q=1

A.B. Pinheiro, I. Roditi

Published Jun 30, 1996• 1 citation
Publisher

Abstract

We show that the Bose–Einstein condensation occurs, on the region near q=1, for modified ideal deformed gas.
DOI
10.1142/s0217984996000791

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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 as p, q-deformed bosons, in the corresponding p, q-Bose gas model we obtain in explicit form virial expansion along with the 2nd to 5th virial coefficients. The obtained virial coefficients depend on the deformation parameters p, q in the form symmetric under p ↔ q, and at p → 1, q → 1 turn into those known for usual bosons. Besides real parameters, we analyze the case of complex mutually conjugate p and q and find interesting implications. Also, the critical temperature is derived (for the p, q-Bose gas) and compared with the Tc of standard case of bosons condensation. Similar results are presented for the deformed Bose gas model of the Tamm–Dancoff (TD) type.