Universal Forms for One-Dimensional Quantum Hamiltonians: A Comparison of the SUSY and the De La Peˋa Factorization Approaches

作者:L Canderle; A Plastino; M Casas; A R Plastino
来源:International Journal of Mathematics and Mathematical Sciences, 2009, 2009: 1-11.
DOI:10.1155/2009/575217

摘要

We show that by linking two factorization techniques often employedto solve Schroedinger's equation one can give any one-dimensional hamiltonianthe same form in terms of quantities typical of these approaches.These are the supersymmetric technique (SUSY) and the one of De LaPeña's. It is shown that the linkage between them exhibits interestingpeculiarities, that are illustrated in the case of a very important family ofquantum potentials, namely, reflection-less ones.

全文