Generalization of the amplitude-phase S-matrix formula for coupled scattering states
2005 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 38, no 46, 10007-10013 p.Article in journal (Refereed) Published
The amplitude-phase method is generalized to coupled Schrodinger scattering states with a common angular momentum quantum number. A pair of expontentail-type amplitude-phase solutions u(j)((+/-))(r)exp[+/- i phi(j)(r)] for each channel is obtained, containing a common complex scalar phase function phi(j)(r) and two (column) vector amplitudes u(j)((+/-))(r). The amplitude functions satisfy certain nonlinear generalized Milne equations and the scalar product of the two amplitudes determines the derivative of the common phase function. Fundamental amplitude-phase matrix solutions that are proportional to Jost-like Schrodinger matrix solutions are constructed. It is shown how a generalized amplitude-phase S-matrix formula can be derived from Wronskian relations involving the two amplitude-phase matrix solutions and a regular matrix solution.
Place, publisher, year, edition, pages
2005. Vol. 38, no 46, 10007-10013 p.
regge-pole positions, wave mechanics, residues, factorization, invariants, momentum
IdentifiersURN: urn:nbn:se:kth:diva-15227ISI: 000233696200010ScopusID: 2-s2.0-27844468653OAI: oai:DiVA.org:kth-15227DiVA: diva2:333268
QC 201005252010-08-052010-08-05Bibliographically approved