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SYMMETRIES, LADDER OPERATORS AND QUANTUM INTEGRABLE SYSTEMS
Published online by Cambridge University Press: 14 July 2005
Abstract
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.
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- Research Article
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- 2005 Glasgow Mathematical Journal Trust
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