Harmonic Oscillator SUSY Partners and Evolution Loops
Quantum Physics
2012-07-12 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained. In this paper it will be shown that the SUSY partner Hamiltonians of the harmonic oscillator can produce evolution loops. The corresponding geometric phases will be as well studied.
Cite
@article{arxiv.1205.6239,
title = {Harmonic Oscillator SUSY Partners and Evolution Loops},
author = {David J. Fernández C},
journal= {arXiv preprint arXiv:1205.6239},
year = {2012}
}