Scattering for step-periodic potentials in one dimension

DOI10.1063/1.528622zbMath0724.47042OpenAlexW1976876004MaRDI QIDQ3211867

Thomas M. Roberts

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528622

zbMATH Keywords

Hill's equationAnalytic, asymptotic, and spectral propertiesimpurities in potentials that tend to a periodic function in one direction and a constant in the otherMarchenko-Newton inverse scatteringQuantum scatteringsolutions of the Schrödinger equation for step-periodic potentials, with and without impurity

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Inverse scattering problems in quantum theory (81U40) Scattering theory of linear operators (47A40)

Related Items (2)

Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials ⋮ On a class of anisotropic asymptotically periodic Hamiltonians

Cites Work

• Levinson formula for perturbed Hill operator
• An inverse scattering problem for a perturbed Hill's operator
• Inverse problem of quantum scattering theory. II
• Inverse scattering by a local impurity in a periodic potential in one dimension
• Remarks on inverse scattering in one dimension
• The Inverse Problem in the Quantum Theory of Scattering
• Inverse scattering. I. One dimension
• Inverse scattering by a local impurity in a periodic potential in one dimension. II

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