NUMERICAL TESTS OF THE LANDE SUBTRACTION METHOD FOR THE COULOMB POTENTIAL IN MOMENTUM-SPACE

The Lande subtraction method is a technique for removing the singulari ty which arises when one solves the Schrodinger equation in momentum s pace for the Coulomb potential. Using this technique, numerical soluti ons for eigenvalues and eigenfunctions are presented and compared to e xact results. Approximately 50 eigenvalues can be calculated very accu rately for various values of the angular momentum. Numerous eigenfunct ions can also be found very accurately. In addition, it is shown how t o implement the Lande subtraction method for potentials which are a li near combination of the Coulomb potential and some other potential. Us ing a basis-function expansion technique, it is shown how to obtain so lutions in those cases where the momentum integrals must be evaluated explicitly.