The Statistical Distribution of quantum particles where any of them can be a fermion with probability [P] or a boson with probability [1-p]

TL;DR

This paper derives the statistical distribution for a quantum system where particles can probabilistically be fermions or bosons, bridging the gap between the two particle types.

Contribution

It introduces a novel probabilistic model for quantum particles that can be either fermions or bosons, providing a unified statistical framework.

Findings

Derived the distribution formula for mixed fermion-boson systems

Showed how the distribution varies with probability P

Provided insights into quantum systems with probabilistic particle types

Abstract

Despite the obvious difference between fermions and bosons in their physical properties and statistical distributions, but we have to ask the following question. What is the form of statistical distribution for a system of quantum particles where any of them can be a fermion with probability [P] and can be a boson with probability [1-P]?. In this paper this question is solved