K. V. Chukbar, “Harmony in a many-particle quantum problem”, UFN, 2018, Volume 188, Number 4,Pages <nobr>446

100 YEARS OF THE "USPEKHI FIZICHESKIKH NAUK" JOURNAL. METHODOLOGICAL NOTES

Harmony in a many-particle quantum problem

K. V. Chukbar^ab

^a National Research Center "Kurchatov Institute", Moscow
^b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region

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.

PACS: 03.65.–w, 05.30.Fk, 05.30.Jp, 31.15.bt

Received: April 3, 2017
Revised: June 5, 2017
Accepted: June 21, 2017

DOI: 10.3367/UFNr.2017.06.038159