Geodesic
SYMMETRIES, LADDER OPERATORS AND QUANTUM INTEGRABLE SYSTEMS
Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 65-75

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DOI

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.
DOI : 10.1017/S0017089505002296
Mots-clés : 53C80, 81Q99 
FORDY, A. P. SYMMETRIES, LADDER OPERATORS AND QUANTUM INTEGRABLE SYSTEMS. Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 65-75. doi: 10.1017/S0017089505002296
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     title = {SYMMETRIES, {LADDER} {OPERATORS} {AND} {QUANTUM} {INTEGRABLE} {SYSTEMS}},
     journal = {Glasgow mathematical journal},
     pages = {65--75},
     year = {2005},
     volume = {47},
     number = {A},
     doi = {10.1017/S0017089505002296},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002296/}
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