ua nt - p h / 07 02 03 7 v 1 5 F eb 2 00 7 Two - particle Wigner functions in a one - dimensional Calogero - Sutherland potential
نویسنده
چکیده
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. PACS: 03.65.-w Quantum mechanics, 03.65.Sq Semiclassical theories and applications, 05.30.-d Quantum statistical mechanics.
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