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

Physics – Condensed Matter

Scientific paper

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15 pages, REVTeX,No figures

Scientific paper

10.1103/PhysRevA.58.821

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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