Fring, A. and Korff, C. (2004) Exactly solvable potentials of Calogero type for q-deformed Coxeter groups. Journal of Physics A: Mathematical and General, 37(45), pp. 10931-10949. (doi: 10.1088/0305-4470/37/45/012)
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Publisher's URL: http://dx.doi.org/10.1088/0305-4470/37/45/012
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.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Korff, Professor Christian |
Authors: | Fring, A., and Korff, C. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Physics A: Mathematical and General |
Publisher: | Institute of Physics Publishing Ltd. |
ISSN: | 0305-4470 |
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