BASIS SPLINE COLLOCATION METHOD FOR SOLVING THE SCHRODINGER-EQUATION IN AXILLARY SYMMETRICAL SYSTEMS

We use basis spline collocation to solve the Schrodinger equation on a lattice for axially symmetric systems, with and without spin. The foc us of the present work is on systems which have continuum states, weak ly bound states, or strong spin-orbit coupling, since these are the mo st difficult to solve on the lattice. A brief overview of the basis sp line collocation method is included which concentrates primarily on th ose aspects of the theory which are relevant to its application in cyl indrical coordinates. To demonstrate the method, we solve several mode l problems selected from the fields of atomic and nuclear physics. (C) 1996 Academic Press, Inc.