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

Avinash Khare; M. Sivakumar; Pijush K. Ghosh

arxiv: cond-mat/9710206 · v1 · submitted 1997-10-20 · ❄️ cond-mat · hep-th· quant-ph

Supersymmetry, Shape Invariance and Solvability of A_(N-1) and BC_(N) Calogero-Sutherland Model

Pijush K. Ghosh , Avinash Khare , M. Sivakumar This is my paper

classification ❄️ cond-mat hep-thquant-ph

keywords calogero-sutherlanddiscussinvariancemodelshapesupersymmetryapproachbriefly

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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.

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Supersymmetry, Shape Invariance and Solvability of A_(N-1) and BC_(N) Calogero-Sutherland Model

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