EIGENFUNCTIONS FOR SU(NU) PARTICLES WITH 1 R(2) INTERACTION IN HARMONIC CONFINEMENT/

Authors
VACEK K OKIJI A KAWAKAMI N
Citation
K. Vacek et al., EIGENFUNCTIONS FOR SU(NU) PARTICLES WITH 1 R(2) INTERACTION IN HARMONIC CONFINEMENT/, Journal of physics. A, mathematical and general, 27(7), 1994, pp. 120000201-120000206
Citations number
32
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
7
Year of publication
1994
Pages
120000201 - 120000206
Database
ISI
SICI code
0305-4470(1994)27:7<120000201:EFSPW1>2.0.ZU;2-O
Abstract
We find a set of exact eigenfunctions which provide the energy spectru m for the quantum N-body Calogero-Sutherland model for fermions or bos ons with SU(nu) spin degrees of freedom moving in a harmonic confineme nt potential. The eigenfunctions are explicitly constructed as a simpl e product of the Jastrow wavefunction for the ground state and the Her mite polynomials introduced to generate the excited states. The corres ponding energy spectrum is given by a sum of the correlated ground-sta te energy and of the excited-state energy for SU(nu) free particles in a harmonic well.