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

Creative Commons License

TEĞMEN A., Altanhan T., KANDEMİR B. S.

EUROPEAN PHYSICAL JOURNAL D, vol.41, no.2, pp.397-402, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 2
  • Publication Date: 2007
  • Doi Number: 10.1140/epjd/e2006-00221-1
  • Journal Name: EUROPEAN PHYSICAL JOURNAL D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.397-402
  • Ankara University Affiliated: Yes

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.