Supersymmetry, Shape Invariance and Solvability of $A_{N-1}$ and $B{C}_N$ Calogero-Sutherland Model

Abstract

Using the ideas of supersymmetry and shape invariance we re-derive the spectrum of the $A_{N-1}$ and $B{C}_N$ Calogero-Sutherland model. We briefly discuss as to how to obtain the corresponding eigenfunctions. We also discuss the difficulties involved in extending this approach to the trigonometric models.

15 pages, REVTeX,No figures

References in corpus (1)

• Shape Invariance in the Calogero and Calogero-Sutherland Models

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