The Dirac factorization method and the harmonic oscillator
Mathematical Physics
2012-03-16 v2 High Energy Physics - Theory
math.MP
Abstract
We apply the Dirac factorization method to the nonrelativistic harmonic oscillator and, more in general, to Hamiltonians with a generic potential. It is shown that this procedure naturally leads to a supersymmetric formulation of the problems under study. It is also speculated on the physical meaning underlying this method and it is suggested that the vacuum field fluctuations can be viewed as the spontaneous emission of the associated two-level system, whose quantization is due to the noncommuting nature of the harmonic oscillator canonical variables.
Keywords
Cite
@article{arxiv.1203.2526,
title = {The Dirac factorization method and the harmonic oscillator},
author = {D. Babusci and G. Dattoli},
journal= {arXiv preprint arXiv:1203.2526},
year = {2012}
}
Comments
14 pages; few typos fixed