Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
31 (1990), S. 2414-2424
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The S matrix of the Schrödinger equation, regarded as a function on the real axis with values in the group of unitary operators L2(S2)]L2(S2), where S2 is the unit sphere in R3, is factorized in two different ways. One of these is a standard Wiener–Hopf factorization with respect to the real line. The other is the kind of factorization that defines the Jost function and which has been found to be a useful tool for the solution of the inverse scattering problem. A number of results are given that relate the two factorizations, their existence as well as the indices they give rise to. Some known theorems on the standard factorization lead to new results for the three-dimensional inverse scattering problem for the Schrödinger equation with a noncentral potential; in particular, a characterization of admissible S matrices is obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528846
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