Lg. Ixaru et al., PIECEWISE PERTURBATION-METHODS FOR CALCULATING EIGENSOLUTIONS OF A COMPLEX OPTICAL-POTENTIAL, Computer physics communications, 85(2), 1995, pp. 217-230
It is shown that the piecewise perturbation methods provide a powerful
numerical tool for solving the complex eigenvalue problem of the Schr
odinger equation in a complex optical potential. One of them, the CPM(
2), is compared with the existing NAG subroutines and found substantia
lly faster. We also present appropriate methods to compute the solutio
n in the vicinity of the origin and in the asymptotic region.