Abstract
We give a natural interpretation of the shift operators for Calogero-Sutherland quantum problem via KZ equation using Matsuo-Cherednik mappings. The explicit formulas for the inversions of these mappings and versions of shift operators for KZ equations are also found. As an application we show that the shift operator can be described via a factorization problem for an appropriate quantum integral (discriminant) of the Calogero system.
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Communicated by A. Jaffe
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Felder, G., Veselov, A.P. Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation. Commun.Math. Phys. 160, 259–273 (1994). https://doi.org/10.1007/BF02103276
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DOI: https://doi.org/10.1007/BF02103276