The First Order Effect of the Quantum Weyl Algebra on a Harmonic Oscillator
Quantum Algebra
2010-04-06 v1 Mathematical Physics
math.MP
Abstract
We examine a concrete realization of the quantum Weyl algebra and expand it to first order. From here we apply the resulting algebra to a quantum harmonic oscillator in its ground state and observe how a slightly noncommutative space affects the physical system. The main result is, similar to a free particle a magnetic field appears, but a new observation is that a dissipative term appears in the perturbed Hamiltonian as well.
Keywords
Cite
@article{arxiv.1004.0607,
title = {The First Order Effect of the Quantum Weyl Algebra on a Harmonic Oscillator},
author = {Clark Alexander},
journal= {arXiv preprint arXiv:1004.0607},
year = {2010}
}
Comments
7 pages