On the quantum elliptic Calogero-Moser problem (Q1406422)

The paper deals with the elliptic Calogero-Moser problem for three particles with the Hamiltonian \[ L = -\frac{\partial^2}{\partial^2x_1} - \frac{\partial^2}{\partial^2x_2} - \frac{\partial^2}{\partial^2x_3} + 4(\wp(x_1-x_2) + \wp(x_2-x_3) + \wp(x_3-x_1)). \] It is proved that the problem is algebraically integrable. Integrable deformations of the problem are discussed and explicit expressions of the integrals are presented.