On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides

DOI10.1007/978-3-0348-0414-1_12zbMath1270.81101OpenAlexW15279642MaRDI QIDQ2841840

Alessandra A. Verri, César R. de Oliveira

Publication date: 30 July 2013

Published in: Spectral Analysis of Quantum Hamiltonians (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0414-1_12

zbMATH Keywords

dimensional reductionDirichlet Laplacianthin waveguides

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theories for operators and differential equations in quantum theory (81Q15) Special classes of linear operators (47B99) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (4)

Norm resolvent approximation of thin homogeneous tubes by heterogeneous ones ⋮ Absolute continuity and band gaps of the spectrum of the Dirichlet Laplacian in periodic waveguides ⋮ Dirichlet Laplacian in a thin twisted strip ⋮ Norm resolvent convergence of Dirichlet Laplacian in unbounded thin waveguides

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