Supersymmetry, Shape Invariance and Solvability of Aₙ₋₁ and BCₙ Calogero-Sutherland Model

الأصل · EN

Using the ideas of supersymmetry and shape invariance we re-derive the spectrum of the Aₙ₋₁ and BCₙ 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.