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Quantum integrability of the deformed elliptic Calogero–Moser problem

Quantum integrability of the deformed elliptic Calogero–Moser problem

The integrability of the deformed quantum elliptic Calogero–Moser problem introduced by Chalykh, Feigin, and Veselov is proven. Explicit recursive formulas for the integrals are found. For integer values of the parameter this implies the algebraic integrability of the systems.