An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model

Abstract

Quantum Calogero-Sutherland model of $A_n$ type is completely integrable. Using this fact, we give an elementary construction of lowering an raising operators for the trigonometric case. This is similar, but more complicated (due to the fact that the energy spectrum is not equidistant) than the construction for the rational case.

11 pages, no figures, to appear in J. Phys. A: Math. Gen

References in corpus (1)

• Raising and lowering operators, factorization and differential/difference operators of hypergeometric type

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