Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
High Energy Physics - Theory
2016-09-06 v2 High Energy Physics - Phenomenology
Abstract
We derive noncommutative multi-particle quantum mechanics from noncommutative quantum field theory in the nonrelativistic limit. Paricles of opposite charges are found to have opposite noncommutativity. As a result, there is no noncommutative correction to the hydrogen atom spectrum at the tree level. We also comment on the obstacles to take noncommutative phenomenology seriously, and propose a way to construct noncommutative SU(5) grand unified theory.
Cite
@article{arxiv.hep-th/0110191,
title = {Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory},
author = {Pei-Ming Ho and Hsien-Chung Kao},
journal= {arXiv preprint arXiv:hep-th/0110191},
year = {2016}
}
Comments
14 pages, Latex, minor modification, references added