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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
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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.

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Pijush K. Ghosh, Avinash Khare, M. Sivakumar. 1997-10-20. Supersymmetry, Shape Invariance and Solvability of $A_{N-1}$ and $BC_{N}$ Calogero-Sutherland Model. https://doi.org/10.1103/physreva.58.821

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