Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential
Quantum Physics
2007-05-23 v1
Abstract
We calculate the Wigner distribution function for the Calogero-Sutherland system which consists of harmonic and inverse-square interactions. The Wigner distribution function is separated out into two parts corresponding to the relative and center-of-mass motions. A general expression for the relative Wigner function is obtained in terms of the Laguerre polynomials by introducing a new identity between Hermite and Laguerre polynomials.
Cite
@article{arxiv.quant-ph/0702037,
title = {Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential},
author = {A. Tegmen and T. Altanhan and B. S. Kandemir},
journal= {arXiv preprint arXiv:quant-ph/0702037},
year = {2007}
}
Comments
14 pages, 4 figures, The original publication is available at www.eurphysj.org