Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential
Department of Physics, Faculty of Sciences, Ankara University, 06100 Tandoğan, Ankara, Turkey
Corresponding author: a firstname.lastname@example.org
Revised: 4 September 2006
Published online: 29 September 2006
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006