City Research Online

Abstract

We establish that by parametrizing the configuration space of a one-dimensional quantum system by polynomial invariants of q-deformed Coxeter groups it is possible to construct exactly solvable models of Calogero type. We adopt the previously introduced notion of solvability which consists of relating the Hamiltonian to finite-dimensional representation spaces of a Lie algebra. We present explicitly the Gq2-case for which we construct the potentials by means of suitable gauge transformations.

Publication Type:	Article
Publisher Keywords:	MANY-BODY PROBLEM, ONE DIMENSION, MOSER MODELS, LIE-ALGEBRAS, INTEGRABLE SYSTEM, SUTHERLAND MODELS, FIELD-THEORIES, QUANTUM, SOLVABILITY, STATE
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics

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