Commutator Anomaly in Noncommutative Quantum Mechanics
High Energy Physics - Theory
2008-11-26 v1
Abstract
In this letter, firstly, the Schrdinger equation on noncommutative phase space is given by using a generalized Bopp's shift. Then the anomaly term of commutator of arbitrary physical observable operators on noncommutative phase space is obtained. Finally, the basic uncertainty relations for space-space and space-momentum as well as momentum-momentum operators in noncommutative quantum mechanics (NCQM), and uncertainty relation for arbitrary physical observable operators in NCQM are discussed.
Keywords
Cite
@article{arxiv.hep-th/0508060,
title = {Commutator Anomaly in Noncommutative Quantum Mechanics},
author = {Sayipjamal Dulat and Kang Li},
journal= {arXiv preprint arXiv:hep-th/0508060},
year = {2008}
}
Comments
7 pages