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 TMF, 1999, Volume 118, Number 2, Pages 287–304 (Mi tmf700)

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

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 Schrödinger equation are found under the standard classical hydrodynamic assumptions.

DOI: https://doi.org/10.4213/tmf700

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English version:
Theoretical and Mathematical Physics, 1999, 118:2, 227–240

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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
\Bibitem{KuzMak99} \by L.~S.~Kuz'menkov, S.~G.~Maksimov \paper Quantum hydrodynamics of particle systems with Coulomb interaction and quantum Bohm potential \jour TMF \yr 1999 \vol 118 \issue 2 \pages 287--304 \mathnet{http://mi.mathnet.ru/tmf700} \crossref{https://doi.org/10.4213/tmf700} \zmath{https://zbmath.org/?q=an:0961.76100} \transl \jour Theoret. and Math. Phys. \yr 1999 \vol 118 \issue 2 \pages 227--240 \crossref{https://doi.org/10.1007/BF02557315} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000079807100009} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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