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

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

2007-02-05

arxiv.org/abs/quant-ph/0702037v1

Eur Phys J D41 (2007) 397-402

Physics

Quantum Physics

14 pages, 4 figures, The original publication is available at www.eurphysj.org

Scientific paper

10.1140/epjd/e2006-00221-1

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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