Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential
arXiv:quant-ph/0702037 · doi:10.1140/epjd/e2006-00221-1
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.
14 pages, 4 figures, The original publication is available at www.eurphysj.org
References in corpus (7)
- Features of Time-independent Wigner Functions
- New insight into WDVV equation
- Orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model
- Wigner quasi-probability distribution for the infinite square well: energy eigenstates and time-dependent wave packets
- Shape Invariance in the Calogero and Calogero-Sutherland Models
- Solving quantum master equations in phase space by continued-fraction methods
- Free harmonic oscillators, Jack polynomials and Calogero-Sutherland systems