Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles
Physics Education
2007-05-23 v1 Quantum Physics
Abstract
We consider the Schwinger's method of angular momentum addition using the SU(2) algebra with both a fermionic and a bosonic oscillator. We show that the total spin states obtained are: one boson singlet state and an arbitrary number of spin-1/2 states, the later ones are energy degenerate. It means that we have in this case supersymmetric quantum mechanics and also the addition of angular momentum for massless particles. We review too the cases of two bosonic and fermionic oscillators.
Cite
@article{arxiv.physics/0207012,
title = {Schwinger's oscillator method, supersymmetric quantum mechanics and massless particles},
author = {F. M. Mejia and V. Pleitez},
journal= {arXiv preprint arXiv:physics/0207012},
year = {2007}
}
Comments
11 pages,RevTeX