Geodesic
Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 379-386

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The article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals. To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory. A non-trivial example of the Klein–Fock equation is considered on the four-dimensional Lie group.
Keywords: star product, Lie groups
Mots-clés : Lie algebras, quantization. 
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     author = {A. S. Popov and I. V. Shirokov},
     title = {Star product on the {Lie} coalgebra and its application for calculation of quantum integrals of motion},
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     number = {1},
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A. S. Popov; I. V. Shirokov. Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 379-386. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a38/