Abstract
The Land\'e subtraction method is a technique for removing the singularity which arises when one solves the Schr\odinger 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 Land\'e 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical review. A, Atomic, molecular, and optical physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
