English

The finite difference algorithm for higher order supersymmetry

Quantum Physics 2008-10-13 v1

Abstract

The higher order supersymmetric partners of the Schroedinger's Hamiltonians can be explicitly constructed by iterating a simple finite difference equation corresponding to the Baecklund transformation. The method can completely replace the Crum determinants. Its limiting, differential case offers some new operational advantages.

Keywords

Cite

@article{arxiv.quant-ph/0004024,
  title  = {The finite difference algorithm for higher order supersymmetry},
  author = {B. Mielnik and L. M. Nieto and O. Rosas-Ortiz},
  journal= {arXiv preprint arXiv:quant-ph/0004024},
  year   = {2008}
}

Comments

LaTeX, 12 pages, 3 figures. To appear in Phys. Lett. A