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

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

2003-10-24

arxiv.org/abs/cond-mat/0310588v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2003.12.013

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.

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