A New Approach for Scattering by Even-Power Potentials

✍ Scribed by Harald J. W. Müller

• Publisher: John Wiley and Sons
• Year: 1968
• Tongue: English
• Weight: 691 KB
• Volume: 476
• Category: Article
• ISSN: 0003-3804
• DOI: 10.1002/andp.19684760303

✦ Synopsis

The radial SCHRODINOER equation is considered in a more general form and is then transformed into another equation t o permit straightforward application of the perturbation formalism used prevously by the author. The potential considered is assumed to be expandable in ascending even powers of T . The potential (sinhr)-a emerges as a special case and is considered separately. For the general case, expansions are obtained for the eigenenergies and eigenfunctions valid in regions of small angular momenta and coupling constants. A simple analytic expression for the 8-matrix is obtained. Finally several consequences are discussed.