On the supersymmetry of the Klein-Gordon oscillator
Mathematical Physics
2021-05-12 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
The three-dimensional Klein-Gordon oscillator is shown to exhibit an algebraic structure known from supersymmetric quantum mechanics. The supersymmetry is found to be unbroken with a vanishing Witten index, and it is utilized to derive the spectral properties of the Klein-Gordon oscillator, which is closely related to that of the non-relativistic harmonic oscillator in three dimensions. Supersymmetry also enables us to derive a closed-form expression for the energy-dependent Green's function.
Keywords
Cite
@article{arxiv.2105.03240,
title = {On the supersymmetry of the Klein-Gordon oscillator},
author = {Georg Junker},
journal= {arXiv preprint arXiv:2105.03240},
year = {2021}
}
Comments
Dedicated to Akira Inomata on the occasion of his 90$^{\bf th}$ birthday. 7 pages