Quantum Mechanics With Noncommutative Amplitudes
High Energy Physics - Theory
2017-01-27 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We formulate a Born rule for families of quantum systems parametrized by a noncommutative space of control parameters. The resulting formalism may be viewed as a generalization of quantum mechanics where overlaps take values in a noncommutative algebra, rather than in the complex numbers.
Cite
@article{arxiv.1701.07746,
title = {Quantum Mechanics With Noncommutative Amplitudes},
author = {Gregory W. Moore},
journal= {arXiv preprint arXiv:1701.07746},
year = {2017}
}
Comments
50 pages, 2 figures