Identical classical particles: half fermions and half bosons

TL;DR

This paper investigates the quantum properties of identical particles, revealing that classical particles exhibit a mix of fermionic and bosonic features, bridging understanding across particle types.

Contribution

It establishes a novel relation between classical particles and quantum particles, showing classical particles have half fermionic and half bosonic characteristics.

Findings

Classical particles show mixed quantum behavior.

Relations between expectation values for different particle types.

Classical particles exhibit half fermionic and half bosonic traits.

Abstract

We study the problem of particle indistinguishability for the three cases known in nature: identical classical particles, identical bosons and identical fermions. By exploiting the fact that different types of particles are associated with Hilbert space vectors with different symmetries, we establish some relations between the expectation value of several different operators, as the particle number one and the interparticle correlation one, evaluated for states of a pair of identical (a) classical particles, (b) bosons and (c) fermions. We find that the quantum behavior of a pair of identical classical particles has exactly half fermionic and half bosonic characteristics.