Scattering in twisted waveguides

DOI10.1016/J.JFA.2013.09.026zbMath1303.81089arXiv1109.2111OpenAlexW2963650123MaRDI QIDQ477017

Hynek Kovařík, Philippe Briet, Georgi D. Raikov

Publication date: 2 December 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2111

zbMATH Keywords

wave operatorsMourre estimatestwisted waveguides

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (S)-matrix theory, etc. in quantum theory (81U20) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (5)

Influence of bounded states in the Neumann Laplacian in a thin waveguide ⋮ Lifshits tails for randomly twisted quantum waveguides ⋮ Eigenvalue and resonance asymptotics in perturbed periodically twisted tubes: twisting versus bending ⋮ Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide ⋮ Hardy inequalities in globally twisted waveguides

Cites Work

• A Hardy inequality in twisted waveguides
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• The Mourre theory for analytically fibered operators
• On the eigenvalues of finitely perturbed Laplace operators in infinite cylindrical domains
• Partial differential equations. 1: Basic theory
• Spectrum of the Schrödinger operator in a perturbed periodically twisted tube
• Linear and quasilinear elliptic equations
• The nature of the essential spectrum in curved quantum waveguides
• Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip
• Eigenvalue Asymptotics in a Twisted Waveguide
• Dynamical resonances and SSF singularities for a magnetic Schroedinger operator
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
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