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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 2, Pages 287–304
DOI: https://doi.org/10.4213/tmf700 (Mi tmf700) 		 
This article is cited in 81 scientific papers (total in 81 papers)

Quantum hydrodynamics of particle systems with Coulomb interaction and quantum Bohm potential

L. S. Kuz'menkov, S. G. Maksimov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (263 kB) Citations (81)
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DOI: https://doi.org/10.4213/tmf700
Abstract: The quantum hydrodynamics of $N$ interacting particles with Coulomb interaction in an external electromagnetic field can be described by the field equations for the microscopic dynamics in the physical space. Macroscopic hydrodynamic equations are obtained by local averaging. Quantum corrections to the hydrodynamic equations are due to the multiparticle quantum Bohm potential. Specific properties of Fermi- and Bose-system hydrodynamics are investigated. The Cauchy-type integral for the quantum system and the corresponding one-particle Schrцdinger equation are found under the standard classical hydrodynamic assumptions.
Received: 03.07.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 2, Pages 227–240
DOI: https://doi.org/10.1007/BF02557315
Bibliographic databases:
Language: Russian
Citation: L. S. Kuz'menkov, S. G. Maksimov, “Quantum hydrodynamics of particle systems with Coulomb interaction and quantum Bohm potential”, TMF, 118:2 (1999), 287–304; Theoret. and Math. Phys., 118:2 (1999), 227–240
Citation in format AMSBIB
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\by L.~S.~Kuz'menkov, S.~G.~Maksimov
\paper Quantum hydrodynamics of particle systems with Coulomb interaction and quantum Bohm potential
\jour TMF
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\vol 118
\issue 2
\pages 287--304
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\crossref{https://doi.org/10.4213/tmf700}
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 2
\pages 227--240
\crossref{https://doi.org/10.1007/BF02557315}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000079807100009}
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    • This publication is cited in the following 81 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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