Higher-order supersymmetric quantum mechanics
Quantum Physics
2010-03-24 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order case. The second order technique is addressed directly, and through this approach unexpected possibilities for designing spectra are uncovered. The formalism is applied to the harmonic oscillator: the corresponding H-SUSY partner Hamiltonians are ruled by polynomial Heisenberg algebras which allow a straight construction of the coherent states.
Cite
@article{arxiv.quant-ph/0502098,
title = {Higher-order supersymmetric quantum mechanics},
author = {David J Fernandez C and Nicolas Fernandez-Garcia},
journal= {arXiv preprint arXiv:quant-ph/0502098},
year = {2010}
}
Comments
42 pages, 12 eps figures