GENERALIZED THERMAL ZETA-FUNCTIONS
High Energy Physics - Theory
2009-10-28 v1
Abstract
We calculate the partition function of a harmonic oscillator with quasi-periodic boundary conditions using the zeta-function method. This work generalizes a previous one by Gibbons and contains the usual bosonic and fermionic oscillators as particular cases. We give an alternative prescription for the analytic extension of the generalized Epstein function involved in the calculation of the generalized thermal zeta-functions. We also conjecture about the relation of our calculation to anyonic systems.
Cite
@article{arxiv.hep-th/9505154,
title = {GENERALIZED THERMAL ZETA-FUNCTIONS},
author = {H. Boschi-Filho and C. Farina},
journal= {arXiv preprint arXiv:hep-th/9505154},
year = {2009}
}
Comments
10 pages, latex, no figures