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100 years of the Uspekhi Fizicheskikh Nauk journal. Methodological notes


Harmony in many-particle quantum problem

 a, b
a National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

The model quantum problem of a harmonically trapped cloud of identical nonrelativistic particles interacting via harmonic oscillator potential has an exact solution which can be used to assess the efficiency of approximate methods standardly used in more realistic many-particle calculations.

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Fulltext is also available at DOI: 10.3367/UFNe.2017.06.038159
Keywords: many-particle Shrödinger equation, harmonic oscillator, fermions, bosons, Thomas—Fermi equation
PACS: 03.65.−w, 05.30.Fk, 05.30.Jp, 31.15.bt (all)
DOI: 10.3367/UFNe.2017.06.038159
URL: https://ufn.ru/en/articles/2018/4/d/
000439002500004
2-s2.0-85050598688
2018PhyU...61..389C
Citation: Chukbar K V "Harmony in many-particle quantum problem" Phys. Usp. 61 389–396 (2018)
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Received: 3rd, April 2017, revised: 5th, June 2017, 21st, June 2017

Îðèãèíàë: ×óêáàð Ê Â «Ãàðìîíèÿ â ìíîãî÷àñòè÷íîé êâàíòîâîé çàäà÷å» ÓÔÍ 188 446–454 (2018); DOI: 10.3367/UFNr.2017.06.038159

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