Quantum integrability of the deformed elliptic Calogero-Moser problem

TL;DR

This paper proves the quantum integrability of a deformed elliptic Calogero-Moser system, providing explicit formulas for integrals and establishing algebraic integrability for integer parameters.

Contribution

It establishes the quantum integrability of the deformed elliptic Calogero-Moser problem and derives explicit recursive formulas for its integrals.

Findings

Proves quantum integrability of the deformed elliptic Calogero-Moser system.

Derives explicit recursive formulas for integrals.

Shows algebraic integrability for integer parameter values.

Abstract

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