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

Wifredo Garcia Fuertes·Miguel Lorente·Askold Perelomov
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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.

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Wifredo Garcia Fuertes, Miguel Lorente, Askold Perelomov. 2001-10-31. An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model. https://doi.org/10.1088/0305-4470%2F34%2F49%2F315

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