Partition Function of the Harmonic Oscillator on a Noncommutative Plane
arXiv:1201.0827
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.
6 pages, no figure. Results for the classical partition functions are corrected