English

Improved power-series method for confined one-dimensional quantum-mechanical problems

Quantum Physics 2016-02-25 v1

Abstract

We propose two improvements to the well-known power series method for confined one-dimensional quantum-mechanical problems. They consist of the addition of a variational step were the energy plays the role of a variational parameter. We compare the rate of convergence of the three methods on an exactly-solvable model. We also outline possible generalizations of the approaches to more complex problems.

Keywords

Cite

@article{arxiv.1602.07299,
  title  = {Improved power-series method for confined one-dimensional quantum-mechanical problems},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:1602.07299},
  year   = {2016}
}
R2 v1 2026-06-22T12:56:20.359Z