An approximation formula in the inverse scattering problem
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Publication:4724191
DOI10.1063/1.527158zbMath0615.35066OpenAlexW2109562615MaRDI QIDQ4724191
Publication date: 1986
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527158
potentialSchrödinger operatorasymptotic formulaspectral decompositionlimiting absorption principleS-matrixscattering dataapproximate formula
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)
Related Items (5)
Geometric approach to inverse scattering for hydrogen-like systems in a homogeneous magnetic field ⋮ High-energy behavior of the scattering amplitude for a Dirac operator ⋮ The geometrical approach to multidimensional inverse scattering ⋮ Rapidly converging approximation in inverse quantum scattering in dimension \(2\). ⋮ Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
Cites Work
- The principle of limiting absorption for the non-selfadjoint Schrödinger operator in R\(^N\) \((N \neq 2)\)
- On the phase-shift formula for the scattering operator
- Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials
- The principle of limiting absorption for second-order differential equations with operator-valued coefficients
- An asymptotic behavior of the S-matrix and the inverse scattering problem
- On the determination of a differential equation from its spectral function
- Inverse scattering. II. Three dimensions
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