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Accurate calculation of the complex eigenvalues of the Schr\"{o}dinger equation with an exponential potential

Mathematical Physics 2009-11-13 v1 math.MP

Abstract

We show that the Riccati--Pad\'{e} method is suitable for the calculation of the complex eigenvalues of the Schr\"{o}dinger equation with a repulsive exponential potential. The accuracy of the results is remarkable for realistic potential parameters.

Keywords

Cite

@article{arxiv.0712.3375,
  title  = {Accurate calculation of the complex eigenvalues of the Schr\"{o}dinger equation with an exponential potential},
  author = {Paolo Amore and Francisco M. Fernandez},
  journal= {arXiv preprint arXiv:0712.3375},
  year   = {2009}
}