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

TEĞMEN, ADNAN; Altanhan, T.; KANDEMİR, BEKİR

doi:10.1140/epjd/e2006-00221-1

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

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

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

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
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
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.