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

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

1996-03-13

arxiv.org/abs/hep-th/9603070v2

Nucl.Phys. B473 (1996) 455-468

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures. A subtitle is added. Comments on additional solutions for B_N and D_N cases, and some additional

Scientific paper

10.1016/0550-3213(96)00262-3

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.

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