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

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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

$N$ 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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Linking options:

https://www.mathnet.ru/eng/tmf700

https://doi.org/10.4213/tmf700

https://www.mathnet.ru/eng/tmf/v118/i2/p287

This publication is cited in the following 81 articles:

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Mariya Iv. Trukhanova, Pavel Andreev, Yuri N. Obukhov, “A new quantum hydrodynamic description of ferroelectricity in spiral magnets”, Int. J. Mod. Phys. B, 2024
Krishna Sharma, Utpal Deka, “Effect of spin quantum force on lower and upper hybrid waves' instability under the influence of an electron beam in a magnetized semiconductor plasma”, Eur. Phys. J. B, 97:9 (2024)
James P Finley, “A formulation of quantum fluid mechanics and trajectories”, Phys. Scr., 99:9 (2024), 095002
Pavel A. Andreev, Mariya Iv. Trukhanova, “Polarization evolution equation for exchange-strictionally formed type II multiferroic materials”, Eur. Phys. J. B, 97:8 (2024)
Pavel A. Andreev, “Hydrodynamic model of skyrmions and vorticities in the spin-1 Bose–Einstein condensate in ferromagnetic phase at finite temperatures”, Physica B: Condensed Matter, 695 (2024), 416470
P. A. Andreev, M. I. Trukhanova, “URAVNENIE EVOLYuTsII ELEKTRIChESKOY POLYaRIZATsII MUL'TIFERROIKOV, PROPORTsIONAL'NOY VEKTORNOMU PROIZVEDENIYu SPINOV IONOV YaChEYKI, POD VLIYaNIEM GAMIL'TONIANA GEYZENBERGA”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 166:5 (2024), 665
S. Usman, A. Mushtaq, “Magnetorotational instability in dense electron–positron–ion plasmas”, Sci Rep, 13:1 (2023)
P. A. Andreev, M. I. Trukhanova, “Quantum Hydrodynamic Representation of the Exchange Interaction in the Theory of Description of Magnetically Ordered Media”, Moscow Univ. Phys., 78:4 (2023), 445
Pavel A. Andreev, “Microscopic model for relativistic hydrodynamics of ideal plasmas”, Eur. Phys. J. D, 77:7 (2023)
P.A. Andreev, M.I. Trukhanova, “Quantum hydrodynamic representation of the exchange interaction in the theory of description of magnetically ordered media”, VMU, 2023, no. №4_2023, 2340103–1
Pavel A. Andreev, “Waves propagating parallel to the magnetic field in relativistically hot plasmas: A hydrodynamic model with the average reverse gamma factor evolution”, Contributions to Plasma Physics, 63:7 (2023)
P. A. Andreev, “Measuring the coupling constant of polarized fermions via sound wave spectra”, Theoret. and Math. Phys., 213:3 (2022), 1762–1773
James P Finley, “A fluid description based on the Bernoulli equation of the one-body stationary states of quantum mechanics with real valued wavefunctions”, J. Phys. Commun., 6:4 (2022), 045002
Pavel A Andreev, “On the structure of relativistic hydrodynamics for hot plasmas”, Phys. Scr., 97:8 (2022), 085602
Shiva Shakti Singh, Jyoti, Kamakhya Prakash Misra, “Two stream instabilities in unmagnetized nonrelativistic quantum plasma”, Plasma Res. Express, 4:2 (2022), 025006
Pavel A. Andreev, “Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas”, Physics of Plasmas, 29:12 (2022)
Trukhanova M.I., Obukhov Yu.N., “Quantum Hydrodynamics Description of Spin-1 Bose-Einstein Condensates”, Phys. Scr., 96:2 (2021), 025401
Trukhanova M.I., Andreev P., “Hydrodynamic Description of Weyl Fermions in Condensed State of Matter”, Eur. Phys. J. B, 94:8 (2021), 170
Andreev P.A., “Hydrodynamics of Quantum Corrections to the Coulomb Interaction Via the Third Rank Tensor Evolution Equation: Application to Langmuir Waves and Spin-Electron Acoustic Waves”, J. Plasma Phys., 87:5 (2021), 905870511

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

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