Year: 1999
Type: article
Abstract: Let (l−k2)u=−u″+q(x)u−k2u=δ(x), x∈R, ∂u/∂|x|−iku→0, |x|→∞. Assume that the potential q(x) is real valued and compactly supported: q(x)=q(x)¯, q(x)=0 for |x|⩾1, ∫−11|q|dx<∞, and that q(x) produces no bound states. Let u(−1,k) and u(1,k), ∀k>0 be the data. It is shown that under the above assumptions these data determine q(x) uniquely.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.532930
Author: A. G. Ramm
Institution: Kansas State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2034604383