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Generalized WKB approximation to nonrelativistic normalizations and phase shifts in a screened Coulomb potential.

We use the generalized WKB method with the Coulomb wave function as the comparison function to derive expressions for normalizations and phase shifts in a screened Coulomb potential as simple quadrature integrals. We compare our results with exact numerical results and with those of the standard WKB method. In most cases our results are good and more accurate than the standard WKB results. We also obtain the high-energy limits of our expressions and show that they coincide with the first-order high-energy-limit expansion of the analytic perturbation theory.