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Doklady Akademii Nauk, 2018, Volume 480, Number 3, Pages 270–272
DOI: https://doi.org/10.7868/S0869565218150021
(Mi dan47522)
 

This article is cited in 9 scientific papers (total in 9 papers)

Schrödinger equation as a self-consistent field

V. V. Vedenyapinab, T. S. Kazakovac, Ya. K. V.c, B. N. Chetverushkina

a Russian Academy of Sciences
b RUDN University
c Moscow Institute of Physics and Technology (State University)
Citations (9)
Abstract: AbstractIt 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.
English version:
Doklady Mathematics, 2018, Volume 97, Issue 3, Pages 240–242
DOI: https://doi.org/10.1134/S1064562418030122
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Linking options:
  • https://www.mathnet.ru/eng/dan47522
  • This publication is cited in the following 9 articles:
    1. Konstantin Eduardovich Plokhotnikov, Horizons of mathematical modeling and theory of self-organization. On the occasion of the 95th anniversary of the birth of S.P. Kurdyumova, 2024, 91  crossref
    2. K. E. Plokhotnikov, “On the Set of Solutions to the Schrödinger Equation as Illustrated with the Description of Water Clusters”, Phys. Wave Phen., 31:3 (2023), 151  crossref
    3. K. E. Plokhotnikov, “About one numerical method of finding positions of hydrogen and oxygen nuclei in water cluster”, Math. Models Comput. Simul., 14:6 (2022), 900–909  mathnet  crossref  crossref  mathscinet
    4. K. E. Plokhotnikov, “On the statistical generator of solutions to the Schrodinger equation”, Math. Models Comput. Simul., 15:4 (2023), 591–600  mathnet  crossref  crossref
    5. K. E. Plokhotnikov, “Modeling of Water Clusters by Numerical Solution of the Schrödinger Equation”, Phys. Wave Phen., 30:3 (2022), 156  crossref
    6. S. Sh. Suleimanova, A. A. Yushkanov, “Electric field near the surface of a plasma with an arbitrary degree of degeneracy as a response to an external alternating electric field”, Theoret. and Math. Phys., 204:1 (2020), 901–917  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    7. K. E. Plokhotnikov, “Numerical method for reconstructing the average positions of quantum particles in a molecular system”, Math. Models Comput. Simul., 13:3 (2021), 372–381  mathnet  crossref  crossref
    8. V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostyuk, B. N. Chetverushkin, “Uravnenie Shredingera kak sledstvie novykh uravnenii tipa Vlasova”, Preprinty IPM im. M. V. Keldysha, 2019, 026, 11 pp.  mathnet  crossref  elib
    9. K. E. Plokhotnikov, “About one method of numerical solution Schrodinger equation”, Math. Models Comput. Simul., 12:2 (2020), 221–231  mathnet  crossref  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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