The Y-junction of quantum waveguides

DOI10.1002/ZAMM.201200255zbMath1302.81104OpenAlexW1975649250MaRDI QIDQ2929404

Pauliina Uusitalo, Sergueï A. Nazarov, Keijo Matti Ruotsalainen

Publication date: 12 November 2014

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201200255

zbMATH Keywords

spectrumquantum waveguide

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (9)

Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension ⋮ The bound states of 3D Y-junction waveguides ⋮ Dirichlet fractional Laplacian in multi-tubes ⋮ Curved channels with constant cross sections may support trapped surface waves ⋮ The discrete spectrum of cross-shaped waveguides ⋮ Spectrum of the Dirichlet Laplacian in a thin cubic lattice ⋮ Discrete spectrum of cross-shaped quantum waveguides ⋮ Bound states of waveguides with two right-angled bends ⋮ Waves in a plane rectangular lattice of thin elastic waveguides

Cites Work

• Bound states in a locally deformed waveguide: The critical case
• An optimal Poincaré inequality for convex domains
• Weakly coupled bound states in quantum waveguides
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Bound states in weakly deformed strips and layers.

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