Heisenberg quantization for the systems of identical particles and the Pauli exclusion principle in noncommutative spaces

TL;DR

This paper extends Heisenberg quantization to systems of identical particles in noncommutative spaces, demonstrating that the Pauli exclusion principle remains valid in such settings.

Contribution

It introduces a framework for quantization in noncommutative spaces that recovers fermions and bosons, confirming the Pauli principle's applicability beyond commutative geometries.

Findings

Fermions and bosons are derived as special cases in noncommutative spaces.

The Pauli exclusion principle holds in noncommutative geometries.

The approach generalizes standard quantum statistics to noncommutative settings.

Abstract

We study the Heisenberg quantization for the systems of identical particles in noncommtative spaces. We get fermions and bosons as a special cases of our argument, in the same way as commutative case and therefore we conclude that the Pauli exclusion principle is also valid in noncommutative spaces.