ISSN:
1434-601X
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Nonlocal potentials can in general be transformed only approximately into local potentials with additional energy dependence. For the optical modelPerey andBuck did an exact nonlocal calculation with the Schrödinger-equation in integro-differential form and also a good local approximation. Certain systematic deviations in the results (concerning the wave-functions) of both processes are of special interest in the shell model. Therefore the eigenvalue problem has been solved now with the most successful nonlocal potential, also used byPerey andBuck, both exactly and approximately, that is with the potential, which is nondiagonal, and its approximation, which is diagonal in local space. The solution of this approximate nonlocal potential serves again as zero order starting value (E 0,u 0) for an iteration process, which now is twofold, in order to find that exact solution (E,u). Thus we get together with the exact solution also the deviation of the approximate nonlocal (local-equivalent) one.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01326250
Permalink
