English

Partition Function of the Harmonic Oscillator on a Noncommutative Plane

High Energy Physics - Theory 2015-07-08 v2

Abstract

We derive the partition function of the one-body and two-body systems of classical noncommutative harmonic oscillator in two dimensions. Then, we employ the path integral approach to the quantum noncommutative harmonic oscillator and derive the partition function of the both systems at finite temperature.

Keywords

Cite

@article{arxiv.1201.0827,
  title  = {Partition Function of the Harmonic Oscillator on a Noncommutative Plane},
  author = {I. Jabbari and A. Jahan and Z. Riazi},
  journal= {arXiv preprint arXiv:1201.0827},
  year   = {2015}
}

Comments

6 pages, no figure. Results for the classical partition functions are corrected

R2 v1 2026-06-21T19:59:57.490Z