English

On the Computation of Eigenvalues of the Anharmonic Coulombic Potential

Numerical Analysis 2015-11-17 v1

Abstract

In this work, we propose a method combining the Sinc collocation method with the double exponential transformation for computing the eigenvalues of the anharmonic Coulombic potential. We introduce a scaling factor that improves the convergence speed and the stability of the method. Further, we apply this method to Coulombic potentials leading to a highly efficient and accurate computation of the eigenvalues.

Keywords

Cite

@article{arxiv.1511.04654,
  title  = {On the Computation of Eigenvalues of the Anharmonic Coulombic Potential},
  author = {Tyler Cassidy and Philippe Gaudreau and Hassan Safouhi},
  journal= {arXiv preprint arXiv:1511.04654},
  year   = {2015}
}

Comments

19 pages and 10 figures