Exact Solutions of Generalized Calogero-Sutherland Models — BC_N and C_N cases

Дата и время публикации : 1996-03-13T02:56:14Z

Авторы публикации и институты :
Masamichi Kojima
Nobuyoshi Ohta

Ссылка на журнал-издание: Nucl.Phys. B473 (1996) 455-468
Коментарии к cтатье: 11 pages, latex, no figures. A subtitle is added. Comments on additional solutions for B_N and D_N cases, and some additional references are included. Version to appear in Nuclear Physics B
Первичная категория: hep-th

Все категории : hep-th, cond-mat, quant-ph

Краткий обзор статьи: Using a collective field method, we obtain explicit solutions of the generalized Calogero-Sutherland models that are characterized by the roots of the classical groups $B_N$ and $C_N$. Starting from the explicit wave functions for $A_{N-1}$ type expressed in terms of the singular vectors of the $W_N$ algebra, we give a systematic method to construct wave functions and derive energy eigenvalues for other types of theories.

Category: Physics