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11 December 2024

» arxiv » cond-mat/9710206

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Supersymmetry, Shape Invariance and Solvability of $A_{N-1}$ and $BC_{N}$ Calogero-Sutherland Model
Pijush K. Ghosh ; Avinash Khare ; M. Sivakumar ;
Date:	20 Oct 1997
Journal:	Phys.Rev. A58 (1998) 821-825
Subject:	cond-mat hep-th quant-ph
Abstract:	Using the ideas of supersymmetry and shape invariance we re-derive the spectrum of the $A_{N-1}$ and $BC_N$ 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.
Source:	arXiv, cond-mat/9710206
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