Spectrum-Generating Superalgebra for Linear Harmonic Oscillators
Mathematical Physics
2012-05-25 v2 High Energy Physics - Theory
math.MP
Abstract
We show that the Hilbert space of the standard linear harmonic oscillator is a complete orbit of the osp(2,1;2) spectrum-generating superalgebra, and that this is the smallest such algebraic structure. The ubiquitous appearance of the linear harmonic oscillator in virtually all domains of theoretical physics guarantees a corresponding ubiquity of appropriate generalizations of this spectrum-generating superalgebra.
Cite
@article{arxiv.1203.5103,
title = {Spectrum-Generating Superalgebra for Linear Harmonic Oscillators},
author = {Tristan Hubsch},
journal= {arXiv preprint arXiv:1203.5103},
year = {2012}
}
Comments
5 pages, LaTeX twice; added references and clarified narrative