Constructive quantum mechanics based on finite groups

TL;DR

This paper proposes a novel formulation of quantum mechanics using finite groups instead of continuous unitary groups, employing computational methods to address associated problems.

Contribution

It introduces a finite group-based framework for quantum mechanics and applies computer algebra and group theory techniques to solve related issues.

Findings

Finite group formulation of quantum mechanics developed.

Computational methods effectively address problems in this framework.

Potential for new insights into quantum theory structure.

Abstract

A formulation of quantum mechanics based on replacing the general unitary group by finite groups is considered. To solve problems arising in the context of this formulation, we use computer algebra and computational group theory methods.