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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 379–386
DOI: https://doi.org/10.14498/vsgtu1155 (Mi vsgtu1155) 		 
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion

A. S. Popov, I. V. Shirokov

Omsk State Technical University, Omks, 644050, Russia
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DOI: https://doi.org/10.14498/vsgtu1155
Abstract: 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, Lie algebras, quantization.
Original article submitted 09/XI/2012
revision submitted – 24/II/2013
Bibliographic databases:
Document Type: Article
UDC: 512.81+512.546.4
MSC: Primary 81Q20; Secondary 81R10, 37N20, 70H05, 70E15, 22E70
Language: Russian
Citation: A. S. Popov, I. V. Shirokov, “Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 379–386
Citation in format AMSBIB
\Bibitem{PopShi13}
\by A.~S.~Popov, I.~V.~Shirokov
\paper Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 379--386
\mathnet{http://mi.mathnet.ru/vsgtu1155}
\crossref{https://doi.org/10.14498/vsgtu1155}
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  • https://www.mathnet.ru/eng/vsgtu/v130/p379
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:42
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