Quantum integrability of the deformed elliptic Calogero-Moser problem

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.

23 pages

References in corpus (2)

• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Generalized Lame operators

Cited by in corpus (5)

• Deformed Calogero-Sutherland model and fractional Quantum Hall effect
• Source identity and kernel functions for elliptic Calogero-Sutherland type systems
• Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
• Conformal field theory, solitons, and elliptic Calogero--Sutherland models
• Coupling and particle number intertwiners in the Calogero model