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)
TY JOUR
TI The exclusion principle and indistinguishability of identical particles in quantum mechanics
AU Kaplan, I. G.
PB Physics-Uspekhi
PY 1975
JO Physics-Uspekhi
JF Physics-Uspekhi
JA Phys. Usp.
VL 18
IS 12
SP 988-994
UR https://ufn.ru/en/articles/1975/12/d/
ER https://doi.org/10.1070/PU1975v018n12ABEH005246