Improved amplitude-phase method for complex angular momentum analysis

Authors: Thylwe, K.-E.
Document Type: Article
Pubstate: Published
Journal: J. Phys. A: Math. Gen.
Volume: 38   7363-7375
Year: 2005


An amplitude-phase formula for the S matrix using two Milne solutions and the regular Schr¨odinger solution is derived. The formula is particularly useful in the analysis of Regge poles located far out in the complex -plane, particularly for discontinuous scattering potentials. Numerical applications for an attractive square-well potential and an inverse-power potential ~r^(-4) are presented.