Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism
Condensed Matter
2009-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9609108,
title = {Thermodynamics of Coupled Identical Oscillators within the Path Integral Formalism},
author = {F. Brosens and J. T. Devreese and L. F. Lemmens},
journal= {arXiv preprint arXiv:cond-mat/9609108},
year = {2009}
}
Comments
13 REVTEX pages + 9 postscript figures