English

Evaluation of the Permutational Structure of the Canonical Ensemble Partition Function

Statistical Mechanics 2009-11-13 v1

Abstract

Proposed is an alternative method for permutational sampling in quantum gases using the path integral formulation of statistical mechanics. It is shown that in principle we are able to use two operators which enable us to construct a Markov chain through a graph of the irreducible representation of the symmetric group. As an illustration of this method, a test calculation of four particles in a harmonic trap is performed.

Keywords

Cite

@article{arxiv.0712.2493,
  title  = {Evaluation of the Permutational Structure of the Canonical Ensemble Partition Function},
  author = {Ryan Springall and Manolo Per and Ian K. Snook},
  journal= {arXiv preprint arXiv:0712.2493},
  year   = {2009}
}

Comments

6 Figures, 8 pages