The Second Order Effect of the Quantum Weyl Algebra on a Free Particle
Quantum Algebra
2010-03-01 v1 Mathematical Physics
math.MP
Abstract
In this paper we revisit and extend the work done by Chaturvedu et al, as well as Dabrowski and Parashar. The basic premise is to take a deformed coordinate system and give is a concrete realization. This realization is given by a parameter of q = exp (it). Expanding in powers of 't' and applying a deformed quantum Hamiltonian to a Free Particle yields a magnetic field. To first order we recover a constant magnetic field. To second order we recover an anisotropic magnetic field with an additional term. A brief mention is made about the quantum symmetries present within the quantum Weyl algebra.
Keywords
Cite
@article{arxiv.1002.4936,
title = {The Second Order Effect of the Quantum Weyl Algebra on a Free Particle},
author = {Clark Alexander},
journal= {arXiv preprint arXiv:1002.4936},
year = {2010}
}