โ Scribed by J Nuttall
No coin nor oath required. For personal study only.
A theorem about the convergence of the Kohn variational method in the case of s-wave single-particle scattering in a well-behaved potential is proved. We show that, provided we use enough expansion functions, the estimated value of the phase shift can be made as near as we please to the correct result for all E within a range (a, b) except for a set whose measure will approach zero. The expansion functions xi used must form a core, which means that the two sets of all finite linear combinations of (T f i)xc must each be dense, where T is the kinetic energy operator.
๐ SIMILAR VOLUMES
Variational iteration method has been widely used to handle linear and nonlinear models. The main property of the method is its flexibility and ability to solve nonlinear equations accurately and conveniently. In this paper, we present an alternative approach of the method then we study the converge