Fractional statistics and finite bosonic system: A one-dimensional case
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for the system with power energy spectrum.
Cite
@article{arxiv.0801.1413,
title = {Fractional statistics and finite bosonic system: A one-dimensional case},
author = {Andrij Rovenchak},
journal= {arXiv preprint arXiv:0801.1413},
year = {2015}
}
Comments
10 pages