Radial wave functions in variational improved WKB approximation
NAS, Belarus
The approximate radial wave functions for an arbitrary potential are constructed by means of explicit summation of the leading constituent WKB series with the help of varied power-law substitution. The optimal value of a variational parameter is found from the minimality condition for integral discrepancy. The proposed approach is applied to the modified Poschl-Teller potentials which can be used for adequate simulating a spherical quantum dot.