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Analytic scattering theory of two-body Schrödinger operators

✍ Scribed by Erik Balslev


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
987 KB
Volume
29
Category
Article
ISSN
0022-1236

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Using a probabilistic approach based on the Feynman-Kac formalism and the spectral radius of the shuttle operator, we prove that two-dimensional Schrödinger operators \(H=-\Delta+V\) with short-range potentials \(V\) satisfying \(V(x)=\left.\right|_{\mid x \rightarrow \infty} 0\left(|x|^{-2}(\ln (|x