Scattering theory for mesoscopic quantum systems with non-trivial spatial asymptotics in one dimension

DOI10.1063/1.531361zbMath0826.34073OpenAlexW2139255716MaRDI QIDQ4836938

Walter Pötz

Publication date: 23 November 1995

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

Full work available at URL: https://doi.org/10.1063/1.531361

zbMATH Keywords

charge transport in mesoscopic quantum-interference devices

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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Cites Work

• Unnamed Item
• Geometry of KdV. I: Addition and the unimodular spectral classes
• Scattering theory for systems with different spatial asymptotics on the left and right
• Inverse scattering by a local impurity in a periodic potential in one dimension
• Analytic Properties of Bloch Waves and Wannier Functions
• Inverse scattering on the line
• Continuity of the S matrix for the perturbed Hill’s equation
• Das eigenwertproblem im eindimensionalen periodischen kraftfelde

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