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)

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PT Journal Article
TI The exclusion principle and indistinguishability of identical particles in quantum mechanics
AU Kaplan I G
FAU Kaplan IG
DP 10 Dec, 1975
TA Phys. Usp.
VI 18
IP 12
PG 988-994
RX 10.1070/PU1975v018n12ABEH005246
URL https://ufn.ru/en/articles/1975/12/d/
SO Phys. Usp. 1975 Dec 10;18(12):988-994

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