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Uspekhi Fizicheskikh Nauk, 2018, Volume 188, Number 4, Pages 446–454
DOI: https://doi.org/10.3367/UFNr.2017.06.038159 (Mi ufn5974) 		 
100 YEARS OF THE "USPEKHI FIZICHESKIKH NAUK" JOURNAL. METHODOLOGICAL NOTES

Harmony in a many-particle quantum problem

K. V. Chukbarab

a National Research Center "Kurchatov Institute", Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region
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DOI: https://doi.org/10.3367/UFNr.2017.06.038159
URL: https://www.ufn.ru/ru/articles/2018/4/e
Abstract: The model quantum problem of a harmonically trapped cloud of identical nonrelativistic particles interacting via a harmonic oscillator potential has an exact solution that can be used to assess the efficiency of approximate methods standardly used in more realistic many-particle calculations.
Keywords: many-particle Shr$\ddot {\rm o}$dinger equation, harmonic oscillator, fermions, bosons, Thomas–Fermi equation.
Received: April 3, 2017
Revised: June 5, 2017
Accepted: June 21, 2017
English version:
Physics–Uspekhi, 2018, Volume 61, Issue 4, Pages 389–396
DOI: https://doi.org/10.3367/UFNe.2017.06.038159
Bibliographic databases:
Document Type: Article
PACS: 03.65.–w, 05.30.Fk, 05.30.Jp, 31.15.bt
Language: Russian
Citation: K. V. Chukbar, “Harmony in a many-particle quantum problem”, UFN, 188:4 (2018), 446–454; Phys. Usp., 61:4 (2018), 389–396
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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