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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 026, 11 pp.
DOI: https://doi.org/10.20948/prepr-2019-26 (Mi ipmp2664) 		 
Schrödinger equation as a consequence of new Vlasov type equations

V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostiuk, B. N. Chetverushkin
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DOI: https://doi.org/10.20948/prepr-2019-26
Abstract: It is well known that the Schrödinger equation can be reduced to the Hamilton–Jacobi equation in Bohmian mechanics. Corresponding new equations of the Vlasov and Lamb types are derived, and their stationary solutions are investigated.
Keywords: Schrödinger equation, equations of the Vlasov and Lamb types, stationary solutions.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS­-18-­01
Ministry of Education and Science of the Russian Federation
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Document Type: Preprint
Language: Russian
Citation: V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostiuk, B. N. Chetverushkin, “Schrödinger equation as a consequence of new Vlasov type equations”, Keldysh Institute preprints, 2019, 026, 11 pp.
Citation in format AMSBIB
\Bibitem{VedKarKos19}
\by V.~V.~Vedenyapin, N.~I.~Karavaeva, O.~A.~Kostiuk, B.~N.~Chetverushkin
\paper Schr\"odinger equation as a consequence of new Vlasov type equations
\jour Keldysh Institute preprints
\yr 2019
\papernumber 026
\totalpages 11
\mathnet{http://mi.mathnet.ru/ipmp2664}
\crossref{https://doi.org/10.20948/prepr-2019-26}
\elib{https://elibrary.ru/item.asp?id=37145703}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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