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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 018, 15 pp.
DOI: https://doi.org/10.20948/prepr-2018-18 (Mi ipmp2380) 		 
On the commutation of quantum operators of the first integrals of Hamiltonian systems

Yu. N. Orlov
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DOI: https://doi.org/10.20948/prepr-2018-18
Abstract: In this paper the effect of integrability destruction is analyzed for Hamiltonian system with complete set of the first integrals under linear quantization. The operators, corresponding to these integrals, are investigated. The example of integrable two-dimensional dynamical system is considered. The perturbation of quantum operators is analyzed for the case of integrability conservation.
Keywords: linear quantization, first integrals, Hamiltonian systems, Chernoff equivalence.
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Document Type: Preprint
Language: Russian
Citation: Yu. N. Orlov, “On the commutation of quantum operators of the first integrals of Hamiltonian systems”, Keldysh Institute preprints, 2018, 018, 15 pp.
Citation in format AMSBIB
\Bibitem{Orl18}
\by Yu.~N.~Orlov
\paper On the commutation of quantum operators of the first integrals of Hamiltonian systems
\jour Keldysh Institute preprints
\yr 2018
\papernumber 018
\totalpages 15
\mathnet{http://mi.mathnet.ru/ipmp2380}
\crossref{https://doi.org/10.20948/prepr-2018-18}
\elib{https://elibrary.ru/item.asp?id=32463784}
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