The confluent algorithm in second order supersymmetric quantum mechanics
Quantum Physics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The confluent algorithm, a degenerate case of the second order supersymmetric quantum mechanics, is studied. It is shown that the transformation function must asymptotically vanish to induce non-singular final potentials. The technique can be used to create a single level above the initial ground state energy. The method is applied to the free particle, one-soliton well and harmonic oscillator.
Keywords
Cite
@article{arxiv.quant-ph/0303123,
title = {The confluent algorithm in second order supersymmetric quantum mechanics},
author = {David J. Fernandez C. and Encarnacion Salinas-Hernandez},
journal= {arXiv preprint arXiv:quant-ph/0303123},
year = {2008}
}
Comments
9 pages, latex, 2 postscript figures