Resonances for steplike potentials: Forward and inverse results

DOI10.1090/S0002-9947-05-03716-5zbMath1100.34065arXivmath/0305335OpenAlexW1822943648MaRDI QIDQ3372154

Tanya Christiansen

Publication date: 17 February 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305335

zbMATH Keywords

inverse problemSchrödinger operatorresonancesresonance counting functionstep-like potentials

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) (2)-body potential quantum scattering theory (81U05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

On the resonances and eigenvalues for a 1D half-crystal with localised impurity ⋮ Asymptotics for a resonance-counting function for potential scattering on cylinders ⋮ Asymptotics of resonances for 1D Stark operators ⋮ Asymptotics of resonances for a Schrödinger operator with vector values ⋮ Inverse resonance problem for Jacobi operators on a half-lattice ⋮ Discretization of inverse scattering on a half line ⋮ Inverse resonance scattering for massless Dirac operators on the real line ⋮ Inverse Resonance Problems for Energy-Dependent Potentials on the Half-Line ⋮ A few results on Mourre theory in a two-Hilbert spaces setting ⋮ Dispersive estimate for the 1D Schrödinger equation with a steplike potential ⋮ Inverse resonance scattering for Dirac operators on the half-line ⋮ Resonance free domain for a system of Schrödinger operators with energy-level crossings ⋮ Resonances of third order differential operators ⋮ Defect Resonances of Truncated Crystal Structures ⋮ Inverse resonance scattering on rotationally symmetric manifolds

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