Harmony in a many-particle quantum problem

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.

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Bibliographic Details
Published inPhysics Uspekhi Vol. 61; no. 4; pp. 389 - 396
Main Author Chukbar, K V
Format Journal Article
LanguageEnglish
Published London Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences and IOP Publishing 01.04.2018
IOP Publishing
Subjects
Approximation
bosons
Exact solutions
fermions
harmonic oscillator
Harmonic oscillators
many-particle Schrödinger equation
Thomas-Fermi equation
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Summary: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.
ISSN:1063-7869
1468-4780
DOI:10.3367/UFNe.2017.06.038159