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math-ph2005
The Borg-Marchenko Theorem with a Continuous Spectrum
Tuncay Aktosun, Ricardo Weder
The Schrödinger equation is considered on the half line with a selfadjoint boundary condition when the potential is real valued, integrable, and has a finite first moment. It is pr…
math-ph2005
On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity
Ricardo Weder, Dimitri Yafaev
We study the inverse scattering problem for electric potentials and magnetic fields in $\ere^d, d\geq 3$, that are asymptotic sums of homogeneous terms at infinity. The main result…