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Completely integrable systems and groups generated by reflections

Abstract
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.

Publication details
Download http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=411800
Repository PubMed Central (PMC3 - NLM DTD) (United States)
Keywords Physical Sciences: Mathematics
Type Text
Language Englisch