Scattering through a straight quantum waveguide with combined boundary conditions

DOI10.1063/1.4901547zbMath1311.81132arXiv1408.3958OpenAlexW3104117541MaRDI QIDQ2934180

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Publication date: 11 December 2014

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

Full work available at URL: https://arxiv.org/abs/1408.3958

zbMATH Keywords

scatteringDirichlet and Neumann boundary conditionsquantum waveguide

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (1)

Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide

Cites Work

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• On a waveguide with an infinite number of small windows
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• Spectral and localization properties of the Dirichlet wave guide with two concentric Neumann discs
• A Hardy inequality in a twisted Dirichlet–Neumann waveguide
• Existence theorems for trapped modes
• Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
• Bound states in straight quantum waveguides with combined boundary conditions
• Bound states and scattering in quantum waveguides coupled laterally through a boundary window

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