Completely integrable systems and groups generated by reflections

1 December 1979

journal article
research article
Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences

Vol. 76 (12) , 6057-6059
https://doi.org/10.1073/pnas.76.12.6057

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.

Keywords

GROUPS GENERATED
FUNCTION
SYSTEMS ARE COMPLETELY INTEGRABLE
HAMILTONIAN
DELTA
EXPLICITLY
QUANTUM
GENERATED BY REFLECTIONS

This publication has 1 reference indexed in Scilit:

NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
Russian Mathematical Surveys, 1976