Multidimensional Inverse Quantum Scattering Problem and Wiener-Hopf Factorization*
نویسنده
چکیده
\Ve consider the direct and inverse scattering for the n-dimensional Schrodinger equation, n 2: 2, with a potential having no spherical symmetry. Sufficient conditions are given for the existence of a Wiener-Hopf factorization of the corresponding scattering operator. This factorization leads to the solution of a related Riemann-Hilbert problem, which plays a key role in inverse scattering.
منابع مشابه
WIENER-HOPF FACTORIZATION IN THE INVERSE SCATTERING THEORY FOR THE n-D SCHRODINGER EQUATION
We study the n-dimensional Schrodinger equation, n 2 2, with a nonspherically symmetric potential in the class of Agmon's short range potentials without any positive energy bound states. We give sufficient conditions that guarantee the existence of a Wiener-Hopf factorization of the corresponding scattering operator. We show that the potential can be recovered from the scattering operator by so...
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