Quantum mechanical inverse scattering problem at fixed energy: a constructive method
نویسندگان
چکیده
منابع مشابه
Inverse scattering problem with fixed energy and fixed incident direction
Let A q (α ′ , α, k) be the scattering amplitude, corresponding to a local potential q(x), x ∈ R 3 , q(x) = 0 for |x| > a, where a > 0 is a fixed number, α ′ , α ∈ S 2 are unit vectors, S 2 is the unit sphere in R 3 , α is the direction of the incident wave, k 2 > 0 is the energy. We prove that given an arbitrary function f (α ′) ∈ L 2 (S 2), an arbitrary fixed α 0 ∈ S 2 , an arbitrary fixed k ...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2011
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2011.v18.n1.a6