Equivalence of the Calogero-Sutherland Model to Free Harmonic Oscillators

Дата и время публикации : 1997-10-03T12:53:46Z

Авторы публикации и институты :
N. Gurappa
Prasanta. K. Panigrahi

Ссылка на журнал-издание: Phys.Rev. B59 (1999) R2490-R2493
Коментарии к cтатье: 9 pages, REVTeX, Completely revised, few new equations and references are added
Первичная категория: cond-mat

Все категории : cond-mat, hep-th

Краткий обзор статьи: A similarity transformation is constructed through which a system of particles interacting with inverse-square two-body and harmonic potentials in one dimension, can be mapped identically, to a set of free harmonic oscillators. This equivalence provides a straightforward method to find the complete set of eigenfunctions, the exact constants of motion and a linear $W_{1+infty}$ algebra associated with this model. It is also demonstrated that a large class of models with long-range interactions, both in one and higher dimensions can be made equivalent to decoupled oscillators.

Category: Physics