English

Quantum Statistics of Identical Particles

Quantum Physics 2022-07-28 v1

Abstract

The empirical rule that systems of identical particles always obey either Bose or Fermi statistics is customarily imposed on the theory by adding it to the axioms of nonrelativistic quantum mechanics, with the result that other statistical behaviors are excluded a priori. A more general approach is to ask what other many-particle statistics are consistent with the indistinguishability of identical particles. This strategy offers a way to discuss possible violations of the Pauli Exclusion Principle, and it leads to some interesting issues related to preparation of states and a superselection rule arising from invariance under the permutation group.

Keywords

Cite

@article{arxiv.2207.13231,
  title  = {Quantum Statistics of Identical Particles},
  author = {J. C. Garrison},
  journal= {arXiv preprint arXiv:2207.13231},
  year   = {2022}
}

Comments

The published version of this paper Foundations of Physics online (2022) contains a number of misprints (the fault of the author). This copy is identical except for correcting the misprints

R2 v1 2026-06-25T01:15:31.979Z