The exclusion principle and indistinguishability of identical particles in quantum mechanics

The connection between the exclusion principle and the principle of indistinguishability of identical particles in quantum mechanics is discussed. It is shown with the aid of a density matrix defined for states with arbitrary permutation symmetry that the particles are indistinguishable only for one-dimensional representations of the permutation group (symmetrical and antisymmetrycal), and are distinguishable in all the states that are degenerate in the permutations. It is demonstrated by the same token that the exclusion principle follows from the principle of indistinguishability of identical particles and the Pauli theorem on the connection between spin and statistics.

PACS: 03.60.+f
DOI: 10.1070/PU1975v018n12ABEH005246
URL: https://ufn.ru/en/articles/1975/12/d/
Citation: Kaplan I G "The exclusion principle and indistinguishability of identical particles in quantum mechanics" Sov. Phys. Usp. 18 988–994 (1975)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Каплан И Г «Принцип запрета и неразличимость тождественных частиц в квантовой механике» УФН 117 691–704 (1975); DOI: 10.3367/UFNr.0117.197512d.0691

Cited by (18) Similar articles (17) ↓

A.I. Akhiezer, R.V. Polovin “Why IT IS impossible to introduce hidden parameters into quantum mechanics” 15 500–512 (1973)
M.I. Shirokov “Signal velocity in quantum electrodynamics” 21 345–358 (1978)
B.G. Konopel’chenko, Yu.B. Rumer “Atoms and hadrons (classification problems)” 22 837–840 (1979)
V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” 35 (10) 857–896 (1992)
M.I. Kornfel’d “Electrification of an ionic crystal upon plastic deformation and fracture” 18 459–466 (1975)
L.A. Ostrovskii “Some ’moving boundaries paradoxes’ in electrodynamics” 18 452–458 (1975)
V.K. Konyukhov, A.M. Prokhorov “Second law of thermodynamics and thermally excited quantum oscillators” 19 618–623 (1976)
V.D. Krivchenkov “Generalized coordinates in quantum mechanics” 24 860–863 (1981)
E.V. Shuryak “Stochastic trajectory generation by computer” 27 448–453 (1984)
N.P. Klepikov “Types of transformations used in physics, and particle ’exchange’” 30 644–648 (1987)
A.A. Logunov, M.A. Mestvirishvili, Yu.V. Chugreev “On incorrect formulations of the equivalence principle” 39 73–79 (1996)
V.G. Veselago “Formulating Fermat’s principle for light traveling in negative refraction materials” 45 1097–1099 (2002)
E.G. Batyev “Pauli paramagnetism and Landau diamagnetism” 52 1245–1246 (2009)
E.D. Trifonov, S.N. Zagoulaev “On the Bose-Einstein condensate partition function for an ideal gas” 53 83–90 (2010)
J. Gaite “The relativistic virial theorem and scale invariance” 56 919–931 (2013)
E.D. Trifonov “On the spin-statistics theorem” 60 621–622 (2017)
A.N. Rubtsov “On the question of measurement in quantum mechanics” 66 734–740 (2023)

The list is formed automatically.