Quantum models based on finite groups
General Physics
2018-03-02 v1
Abstract
We consider a constructive modification of quantum-mechanical formalism. Replacement of a general unitary group by unitary representations of finite groups makes it possible to reproduce quantum formalism without loss of its empirical content. Since any linear representation of a finite group can be implemented as a subrepresentation of a permutation representation, quantum-mechanical problems can be formulated in terms of permutation groups. Reproducing quantum behavior in the framework of permutation representations of finite groups makes it possible to clarify the meaning of a number of physical concepts.
Cite
@article{arxiv.1803.00408,
title = {Quantum models based on finite groups},
author = {Vladimir V. Kornyak},
journal= {arXiv preprint arXiv:1803.00408},
year = {2018}
}
Comments
12 pages, based on talk at ISQS-25, Prague, June 6-10, 2017. arXiv admin note: substantial text overlap with arXiv:1709.01831