Harmony in many-particle quantum problem

K.V. Chukbar^a, b
^aNational Research Centre ‘Kurchatov Institute’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation
^bMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, 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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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

References (16) Cited by (1) Similar articles (20) ↓

G.V. Shpatakovskaya “Semiclassical method of analysis and estimation of the orbital binding energies in many-electron atoms and ions” Phys. Usp. 62 186–197 (2019)
A.N. Rubtsov “On the question of measurement in quantum mechanics” Phys. Usp. 66 734–740 (2023)
A.V. Belinsky “On David Bohm's 'pilot-wave' concept” Phys. Usp. 62 1268–1278 (2019)
E.D. Trifonov “On the spin-statistics theorem” Phys. Usp. 60 621–622 (2017)
S.V. Goupalov “Classical problems with the theory of elasticity and the quantum theory of angular momentum” Phys. Usp. 63 57–65 (2020)
V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” Phys. Usp. 57 891–896 (2014)
S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)” Phys. Usp. 63 721–724 (2020)
E.D. Trifonov “On quantum statistics for ensembles with a finite number of particles” Phys. Usp. 54 723–727 (2011)
S.V. Vladimirov, Yu.O. Tyshetskiy “On description of a collisionless quantum plasma” Phys. Usp. 54 1243–1256 (2011)
S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” Phys. Usp. 42 573–590 (1999)
E.E. Nikitin, L.P. Pitaevskii “Imaginary time and the Landau method of calculating quasiclassical matrix elements” Phys. Usp. 36 (9) 851–853 (1993)
I.M. Arbekov, S.N. Molotkov “Extraction of quantum randomness” Phys. Usp. 64 617–634 (2021)
A.A. Grib “On the problem of the interpretation of quantum physics” Phys. Usp. 56 1230–1244 (2013)
Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” Phys. Usp. 55 796–807 (2012)
G.A. Vardanyan, G.S. Mkrtchyan “A solution to the density matrix equation” Sov. Phys. Usp. 33 (12) 1072–1072 (1990)
N.P. Klepikov “Types of transformations used in physics, and particle ’exchange’” Sov. Phys. Usp. 30 644–648 (1987)
I.F. Ginzburg “Particles in finite and infinite one-dimensional chains” Phys. Usp. 63 395–406 (2020)
G.S. Bisnovatyi-Kogan, I.A. Kondratyev “Free electron gas and electron—positron pair equilibrium in a magnetic field” Phys. Usp. 64 515–528 (2021)
A.V. Belinsky, M.Kh. Shulman “Quantum nature of a nonlinear beam splitter” Phys. Usp. 57 1022–1034 (2014)
V.K. Ignatovich “The neutron Berry phase” Phys. Usp. 56 603–604 (2013)

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