中文

On one-dimensional Schroedinger problems allowing polynomial solutions

混沌动力学 2016-09-07 v1 可精确求解与可积系统

摘要

We discuss the explicit construction of the Schroedinger equations admitting a representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has also been performed in higher-dimensional problems.

关键词

引用

@article{arxiv.nlin/0003064,
  title  = {On one-dimensional Schroedinger problems allowing polynomial solutions},
  author = {George Krylov and Marko Robnik},
  journal= {arXiv preprint arXiv:nlin/0003064},
  year   = {2016}
}

备注

17 pages