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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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” 62 186–197 (2019)
A.N. Rubtsov “On the question of measurement in quantum mechanics” 66 734–740 (2023)
A.V. Belinsky “On David Bohm's 'pilot-wave' concept” 62 1268–1278 (2019)
E.D. Trifonov, S.N. Zagoulaev “On the Bose-Einstein condensate partition function for an ideal gas” 53 83–90 (2010)
E.D. Trifonov “On the spin-statistics theorem” 60 621–622 (2017)
N.P. Klepikov “Types of transformations used in physics, and particle ’exchange’” 30 644–648 (1987)
I.M. Arbekov, S.N. Molotkov “Extraction of quantum randomness” 64 617–634 (2021)
I.F. Ginzburg “Particles in finite and infinite one-dimensional chains” 63 395–406 (2020)
V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” 57 891–896 (2014)
A.A. Grib “On the problem of the interpretation of quantum physics” 56 1230–1244 (2013)
V.K. Ignatovich “The neutron Berry phase” 56 603–604 (2013)
Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” 55 796–807 (2012)
E.D. Trifonov “On quantum statistics for ensembles with a finite number of particles” 54 723–727 (2011)
S.V. Vladimirov, Yu.O. Tyshetskiy “On description of a collisionless quantum plasma” 54 1243–1256 (2011)
S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” 42 573–590 (1999)
E.E. Nikitin, L.P. Pitaevskii “Imaginary time and the Landau method of calculating quasiclassical matrix elements” 36 (9) 851–853 (1993)
G.A. Vardanyan, G.S. Mkrtchyan “A solution to the density matrix equation” 33 (12) 1072–1072 (1990)
B.I. Sturman “Ballistic and shift currents in the bulk photovoltaic effect theory” 63 407–411 (2020)
S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)” 63 721–724 (2020)
S.V. Goupalov “Classical problems with the theory of elasticity and the quantum theory of angular momentum” 63 57–65 (2020)

The list is formed automatically.