Equivalence of the Calogero-Sutherland model to free harmonic oscillators

Citation
N. Gurappa et Pk. Panigrahi, Equivalence of the Calogero-Sutherland model to free harmonic oscillators, PHYS REV B, 59(4), 1999, pp. R2490-R2493
Citations number
41
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B-CONDENSED MATTER
ISSN journal
01631829 → ACNP
Volume
59
Issue
4
Year of publication
1999
Pages
R2490 - R2493
Database
ISI
SICI code
0163-1829(19990115)59:4<R2490:EOTCMT>2.0.ZU;2-U
Abstract
A similarity transformation is constructed, through which a system of parti cles interacting with inverse-square two-body and harmonic potentials in on e dimension can be mapped identically to a set of free harmonic oscillators . This equivalence provides a straightforward method to find the complete s et of eigenfunctions, the exact constants of motion, and a linens W1+infini ty algebra associated with this model. It is also demonstrated that a large class of models with long-range interactions, both in one and higher dimen sions can be made equivalent to decoupled oscillators. [S0163-1829(99)51404 -5].