Hyperconfluent third-order supersymmetric quantum mechanics
Quantum Physics
2011-08-25 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The hyperconfluent third-order supersymmetric quantum mechanics, in which all the factorization energies tend to a common value, is analyzed. It will be shown that the final potential as well can be achieved by applying consecutively a confluent second-order and a first-order SUSY transformations, both with the same factorization energy. The technique will be applied to the free particle and the Coulomb potential.
Cite
@article{arxiv.1105.2333,
title = {Hyperconfluent third-order supersymmetric quantum mechanics},
author = {David J Fernandez C and Encarnacion Salinas-Hernandez},
journal= {arXiv preprint arXiv:1105.2333},
year = {2011}
}
Comments
12 pages, 1 figure. Minor changes. To be published in J. Phys. A