I think the article is fine as it is, but maybe the author would like to consider the following suggestions:
---It is mentioned that space-time translational invariance requires functional equations for f that are satisfied by the Weierstrass P function. However, presently the formulation is a bit vague and could cause misunderstandings: it is of course the function f^2 rather than f that satisfies the functional equations for the Weierstrass P-function.
---The original Calogero-Moser model is (in essence) a system of N one-dimensional particles with inverse-square pair potential interactions placed in a harmonic well. Given this historical precedence, and to complete the overall picture, maybe the author would like to make mention (as a side remark?) of the fact that the relativistic counterpart of this model was also studied?