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