We consider the direct and inverse scattering for the n-dimensional Schroedinger equation 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.

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Titolo: Multidimensional inverse quantum scattering problem and Wiener-Hopf factorization
Autori: 
VAN DER MEE, CORNELIS VICTOR MARIA
mostra contributor esterni 
Data di pubblicazione: 1990
Abstract: We consider the direct and inverse scattering for the n-dimensional Schroedinger equation 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.
Handle: http://hdl.handle.net/11584/7886
ISBN: 3-540-51994-7
Tipologia:2.1 Contributo in volume (Capitolo o Saggio)

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