Quasi-set theory for bosons and fermions: Quantum distributions.

Quasi-set theory provides a mathematical background for dealing with coll ections of indistinguishable elementary particles. In this paper, we show how to obtain the quantum statistics into the scope of quasi-set theory and we also discuss the Helium atom, which represents the simplest example where indistinguishability plays an important role. 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 implicitely in the axiomatic basis of quantum mechanics. [ABSTRACT FROM AUTHOR]