Completely integrable systems with a symmetry in coordinates
This paper is devoted to completely integrable quantum or classical dynamical systems. Most of them are invariant under the action of the corresponding Weyl groups. The main goal is to determine all the completely integrable systems with this invariance property. The author explicitly constructs the integrals of completely integrable quantum or classical systems whose potential functions are invariant under the action of a classical Weyl group. Both potential functions and integrals are expressed by Weierstrass elliptic function.
scientific article; zbMATH DE number 1531017