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

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

EUROPEAN PHYSICAL JOURNAL D, cilt.41, sa.2, ss.397-402, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1140/epjd/e2006-00221-1
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL D
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.397-402
  • Ankara Üniversitesi Adresli: Evet

Özet

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.