Inverse Resonance Problems for Energy-Dependent Potentials on the Half-Line

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Resonances in quantum scattering theory (81U24)

Cites Work

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Energy dependent inverse scattering on the line
On the inverse resonance problem for Schrödinger operators
Resonances of a Hill operator, perturbed by an exponentially decreasing additive potential
Spectral theory of ordinary differential operators
Distribution of poles for scattering on the real line
Asymptotic distribution of resonances in one dimension
Inverse scattering in one-dimensional nonconservative media
Asymptotics of resonances for 1D Stark operators
Resonances for 1D Stark operators
Resonances in one dimension and Fredholm determinants
Energy dependent scattering theory
Bounds on scattering poles in one dimension
Inverse resonance scattering for Dirac operators on the half-line
Resonances for Dirac operators on the half-line
Trace formulas for Schrödinger operators with complex potentials on a half line
Resonances of third order differential operators
Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordström black hole
Global transformations preserving Sturm-Liouville spectral data
Global estimates of resonances for 1D Dirac operators
Resonances for 1D massless Dirac operators
An inversion formula in energy dependent scattering
A Remark on Isopolar Potentials
On the number of eigenvalues of Schrödinger operators with complex potentials
A Sharp Bound on Eigenvalues of Schrödinger Operators on the Half-line with Complex-valued Potentials
Resonance theory for perturbed Hill operator
Stability of the inverse resonance problem on the line
On the resonances and eigenvalues for a 1D half-crystal with localised impurity
Quasi-normal modes for Dirac fields in the Kerr–Newman–de Sitter black holes
Resonances for the radial Dirac operators
Eigenvalues of the Klein-Gordon equation
Resonances for steplike potentials: Forward and inverse results
Energy Dependent Inverse Scattering
Scattering and inverse scattering for the 1-D Schrödinger equation with energy-dependent potentials
Wave scattering in one dimension with absorption
ON THE INVERSE RESONANCE PROBLEM
Scattering for 1D Schrödinger equation with energy-dependent potentials and the recovery of the potential from the reflection coefficient
Inverse resonance scattering on the real line
Resonances in the One Dimensional Stark Effect in the Limit of Small Field
Inverse scattering on the half-line for energy-dependent Schrödinger equations
Resonances of 4th order differential operators
Mathematical Theory of Scattering Resonances
Existence and Uniqueness of Crossing Symmetric N/D-Type Equations Corresponding to the Klein-Gordon Equation
A Riemann - Hilbert problem for an energy dependent Schrödinger operator
Inverse resonance scattering for massless Dirac operators on the real line

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