given a radial potential in 3 dimension and its Schroedinguer equation
$ -D^{2}U(r) + \frac{l(l+1)}{r^{2}}+V(r) $ here D means derivative with respect to 'r'
then if we apply quantum scattering how can we calculate the PHASE SHIFT ?? $\delta $ , for a general potential ?? .. for example with the condition $ V(r) \to \infty$ as $ r\to \infty$
For a general potential $V(r)$ you can use the variable-phase method.
I think you will find the following book very useful: Calogero, F. (1967), The Variable Phase Approach to Potential Scattering. Academic Press, New York.
Interesting to note is that Calogero emphasizes in his 1967 book that the numerical calculation of phase shifts using the variable-phase equation is well within the power of a simple desk calculator!
