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SYMMETRIES, LADDER OPERATORS AND QUANTUM INTEGRABLE SYSTEMS

Published online by Cambridge University Press:  14 July 2005

A. P. FORDY
A. P. FORDY
Affiliation:
Department of Applied Mathematics, University of Leeds. Leeds LS2 9JT, UK e-mail: allan@maths.leeds.ac.uk
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Abstract

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We consider a class of deformations of Laplace-Beltrami operators on flat and constant curvature spaces, which possess a family of commuting operators. These are built as deformations of the symmetries of the underlying geometric space. In flat spaces it is also possible to extend some symmetries into ladder operators. In all cases it is possible to choose sub-classes which are super-integrable.

Keywords

53C8081Q99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue A , June 2005 , pp. 65 - 75
Copyright
2005 Glasgow Mathematical Journal Trust