Study on Noncommutative Representations of Galilean Generators
High Energy Physics - Theory
2010-08-09 v2
Abstract
The representations of Galilean generators are constructed on a space where both position and momentum coordinates are noncommutating operators. A dynamical model invariant under noncommutative phase space transformations is constructed. The Dirac brackets of this model reproduce the original noncommutative algebra. Also, the generators in terms of noncommutative phase space variables are abstracted from this model in a consistent manner. Finally, the role of Jacobi identities is emphasised to produce the noncommuting structure that occurs when an electron is subjected to a constant magnetic field and Berry curvature.
Cite
@article{arxiv.0909.2527,
title = {Study on Noncommutative Representations of Galilean Generators},
author = {Sarmistha Kumar and Saurav Samanta},
journal= {arXiv preprint arXiv:0909.2527},
year = {2010}
}
Comments
Title changed, new references added, published in Int. J. Mod. Phys. A