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Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential

A. Tegmen·T. Altanhan·B. S. Kandemir
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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.

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A. Tegmen, T. Altanhan, B. S. Kandemir. 2007-02-05. Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential. https://doi.org/10.1140/epjd%2Fe2006-00221-1

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