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/
Web of Science

000439002500004
Scopus

2-s2.0-85050598688
ADS NASA

2018PhyU...61..389C
Citation: Chukbar K V "Harmony in many-particle quantum problem" Phys. Usp. 61 389–396 (2018)

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RT Journal
T1 Harmony in many-particle quantum problem
A1 Chukbar,K.V.
PB Physics-Uspekhi
PY 2018
FD 10 Apr, 2018
JF Physics-Uspekhi
JO Phys. Usp.
VO 61
IS 4
SP 389-396
DO 10.3367/UFNe.2017.06.038159
LK https://ufn.ru/en/articles/2018/4/d/

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