An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model
Wifredo Garcia Fuertes, Miguel Lorente, Askold Perelomov
Abstract
Quantum Calogero-Sutherland model of An 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.
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