Harmony in many-particle quantum problem

K.V. Chukbar^a, b
^aNational Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation
^bMoscow 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.

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/
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, accepted: 21st, June 2017

Оригинал: Чукбар К В «Гармония в многочастичной квантовой задаче» УФН 188 446–454 (2018); DOI: 10.3367/UFNr.2017.06.038159