Absolute continuity in periodic thin tubes and strongly coupled leaky wires

DOI10.1023/A:1027362115133zbMath1038.81018arXivmath/0307188OpenAlexW1973606008MaRDI QIDQ1417863

Pierre Duclos, François Bentosela, Pavel Exner

Publication date: 6 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0307188

zbMATH Keywords

periodic systemsSchrödinger operatorsabsolute continuitysingular interactions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Applications of quantum theory to specific physical systems (81V99)

Related Items (9)

A note on the spectrum of the Neumann Laplacian in thin periodic waveguides ⋮ Spectral asymptotics for waveguides with perturbed periodic twisting ⋮ Influence of bounded states in the Neumann Laplacian in a thin waveguide ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Absolute continuity and band gaps of the spectrum of the Dirichlet Laplacian in periodic waveguides ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\) ⋮ Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition ⋮ An overview of periodic elliptic operators ⋮ On the spectrum of curved planar waveguides

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