Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides
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Publication:5739430
zbMath1372.47004arXiv1402.0373MaRDI QIDQ5739430
Rafael Tiedra de Aldecoa, Serge Richard
Publication date: 15 July 2016
Full work available at URL: https://arxiv.org/abs/1402.0373
Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Inelastic and multichannel quantum scattering (81U35) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items (4)
Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition ⋮ Branching form of the resolvent at thresholds for multi-dimensional discrete Laplacians ⋮ Discrete Laplacian in a half‐space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators ⋮ Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide
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