Completely integrable systems and groups generated by reflections

AUTOR(ES)

Gutkin, Eugene

RESUMO

We introduce a class of quantum Hamiltonian systems with δ-function potential, related to groups generated by reflections. They generalize the system of equal elastic particles on the line. We show that these systems are completely integrable and we integrate them explicitly. Then we apply our technique to obtain identities for groups generated by reflections.

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