Strict Almost Non-Abelian Deformations

TL;DR

This paper introduces a new type of deformation called almost non-abelian deformation, which extends Rieffel deformation by incorporating unitary groups related to $SU(n)$, with applications in quantum mechanics and quantum field theory.

Contribution

It presents a novel almost non-abelian extension of Rieffel deformation involving $SU(n)$ generators, expanding the mathematical framework for quantum theories.

Findings

Extension applied successfully to quantum mechanics

Extension applied successfully to quantum field theory

Provides new tools for non-abelian deformation analysis

Abstract

An almost non-abelian extension of the Rieffel deformation is presented in this work. The non-abelicity comes into play by the introduction of unitary groups which are dependent of the infinitesimal generators of $SU(n)$. This extension is applied to quantum mechanics and quantum field theory.