From creation and annihilation operators to statistics
Statistical Mechanics
2017-10-11 v1
Abstract
A procedure to derive the partition function of non-interacting particles with exotic or intermediate statistics is presented. The partition function is directly related to the associated creation and annihilation operators that obey some specific commutation or anti-commutation relations. The cases of Gentile statistics, quons, Polychronakos statistics, and ewkons are considered. Ewkons statistics was recently derived from the assumption of free diffusion in energy space (Phys. Rev. E 94, 062115, 2016); an ideal gas of ewkons has negative pressure, a feature that makes them suitable for the description of dark energy.
Cite
@article{arxiv.1706.01795,
title = {From creation and annihilation operators to statistics},
author = {Miguel Hoyuelos},
journal= {arXiv preprint arXiv:1706.01795},
year = {2017}
}
Comments
15 pages, 1 figure