A solvable model of a one-dimensional quantum gas with pair interaction

H.-J. Schmidt and J. Bartke

Physica A: Statistical Mechanics and its Applications, 2004, vol. 335, issue 1, 143-154

Abstract: We propose a solvable model of a one-dimensional harmonic oscillator quantum gas of two sorts of particles, fermions or bosons, which allows to describe the formation of pairs due to a suitable pair interaction. These pairs we call “pseudo-bosons” since the system can be approximated by an ideal Bose gas for low temperatures. We illustrate this fact by considering the specific heat and the entropy function for N=8 pairs. The model can also be evaluated in the thermodynamic limit if the harmonic oscillator potential is suitable scaled.

Keywords: One-dimensional quantum gases; Bose–Einstein condensation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:335:y:2004:i:1:p:143-154

DOI: 10.1016/j.physa.2003.12.013

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