Supersymmetry, quark confinement and the harmonic oscillator
Quantum Physics
2008-11-26 v1
Abstract
We study some quantum systems described by noncanonical commutation relations formally expressed as [q,p]=ihbar(I + chi H), where H is the associated (harmonic oscillator-like) Hamiltonian of the system, and chi is a Hermitian (constant) operator, i.e. [H,chi]=0 . In passing, we also consider a simple (chi=0 canonical) model, in the framework of a relativistic Klein-Gordon-like wave equation.
Keywords
Cite
@article{arxiv.0710.3929,
title = {Supersymmetry, quark confinement and the harmonic oscillator},
author = {S. A. Bruce and P. C. Minning},
journal= {arXiv preprint arXiv:0710.3929},
year = {2008}
}
Comments
To be published in Journal of Physics A: Mathematical and Theoretical (2007)