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Uspekhi Fizicheskikh Nauk, 1975, Volume 117, Number 4, Pages 691–704
DOI: https://doi.org/10.3367/UFNr.0117.197512d.0691
(Mi ufn10114)
 

This article is cited in 18 scientific papers (total in 18 papers)

METHODOLOGICAL NOTES

The exclusion principle and indistinguishability of identical particles in quantum mechanics

I. G. Kaplan

Karpov Institute of Physical Chemistry, Moscow
Abstract: 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.
English version:
Physics–Uspekhi, 1975, Volume 18, Issue 12, Pages 988–994
DOI: https://doi.org/10.1070/PU1975v018n12ABEH005246
Document Type: Article
UDC: 530.145.6(018)
PACS: 03.60.+f
Language: Russian
Citation: I. G. Kaplan, “The exclusion principle and indistinguishability of identical particles in quantum mechanics”, UFN, 117:4 (1975), 691–704; Phys. Usp., 18:12 (1975), 988–994
Citation in format AMSBIB
\Bibitem{Kap75}
\by I.~G.~Kaplan
\paper The exclusion principle and indistinguishability of identical particles in quantum mechanics
\jour UFN
\yr 1975
\vol 117
\issue 4
\pages 691--704
\mathnet{http://mi.mathnet.ru/ufn10114}
\crossref{https://doi.org/10.3367/UFNr.0117.197512d.0691}
\transl
\jour Phys. Usp.
\yr 1975
\vol 18
\issue 12
\pages 988--994
\crossref{https://doi.org/10.1070/PU1975v018n12ABEH005246}
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  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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