English

Quasi-set theory for bosons and fermions: quantum distributions

Quantum Physics 2009-10-31 v1

Abstract

Quasi-set theory provides a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the quantum statistics into the scope of quasi-set theory and discuss the Helium atom, which represents the simplest example where indistinguishability plays an important role. A brief discussion about indistinguishability and interference is also presented as well as other related lines of work. One of the advantages of our approach is that one of the most basic principles of quantum theory, namely, the Indistinguishability Postulate, does not need to be assumed even implicetely in the axiomatic basis of quantum mechanics.

Keywords

Cite

@article{arxiv.quant-ph/9803076,
  title  = {Quasi-set theory for bosons and fermions: quantum distributions},
  author = {Decio Krause and Adonai S. Sant'Anna and Analice G. Volkov},
  journal= {arXiv preprint arXiv:quant-ph/9803076},
  year   = {2009}
}

Comments

20 pages, no figures, one table

R2 v1 2026-07-22T20:03:33.170Z