Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism

Details Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism

1996-09-12

arxiv.org/abs/cond-mat/9609108v1

Physics

Condensed Matter

13 REVTEX pages + 9 postscript figures

Scientific paper

10.1103/PhysRevE.55.227

A generalization of symmetrized density matrices in combination with the technique of generating functions allows to calculate the partition function of identical particles in a parabolic confining well. Harmonic two-body interactions (repulsive or attractive) are taken into account. Also the influence of a homogeneous magnetic field, introducing anisotropy in the model, is examined. Although the theory is developed for fermions and bosons, special attention is payed to the thermodynamic properties of bosons and their condensation.

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