Phase operator of the quantum supersymmetric harmonic oscillator
Quantum Physics
2007-10-17 v1 High Energy Physics - Theory
Abstract
After a brief introduction recalling how, in the limit in which the mass and the electric charge of the electron and the positron tend to zero, Quantum Electrodynamics reduces to a collection of uncoupled quantum supersymmetric harmonic oscillators, the phase operator of the quantum fermionic harmonic oscillator and of the quantum supersymmetric harmonic oscillator are introduced and their properties analyzed. It is then shown that the phase operator of a supersymmetric harmonic oscillator is a Goldstone operator at any strictly positive temperature (finite or infinite).
Keywords
Cite
@article{arxiv.0710.3138,
title = {Phase operator of the quantum supersymmetric harmonic oscillator},
author = {Gavriel Segre},
journal= {arXiv preprint arXiv:0710.3138},
year = {2007}
}