Jw. Norbury et al., NUMERICAL TESTS OF THE LANDE SUBTRACTION METHOD FOR THE COULOMB POTENTIAL IN MOMENTUM-SPACE, Physical review. A, 50(3), 1994, pp. 2075-2079
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.