Numerical tests of the Landé subtraction method for the Coulomb potential in momentum space

John W. Norbury, Khin Maung Maung, and David E. Kahana
Phys. Rev. A 50, 2075 – Published 1 September 1994
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Abstract

The Landé subtraction method is a technique for removing the singularity which arises when one solves the Schrödinger equation in momentum space for the Coulomb potential. Using this technique, numerical solutions for eigenvalues and eigenfunctions are presented and compared to exact results. Approximately 50 eigenvalues can be calculated very accurately for various values of the angular momentum. Numerous eigenfunctions can also be found very accurately. In addition, it is shown how to implement the Landé subtraction method for potentials which are a linear combination of the Coulomb potential and some other potential. Using a basis-function expansion technique, it is shown how to obtain solutions in those cases where the momentum integrals must be evaluated explicitly.

  • Received 3 February 1994

DOI:https://doi.org/10.1103/PhysRevA.50.2075

©1994 American Physical Society

Authors & Affiliations

John W. Norbury

  • Physics Department, University of Wisconsin, La Crosse, Wisconsin 54601

Khin Maung Maung

  • Physics Department, Hampton University, Hampton, Virginia 23668

David E. Kahana

  • Physics Department, Kent State University, Kent, Ohio 44242

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Vol. 50, Iss. 3 — September 1994

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