BOUND STATES IN WEAKLY DEFORMED WAVEGUIDES: NUMERICAL VERSUS ANALYTICAL RESULTS

DOI10.1017/S1446181117000293zbMath1385.81023arXiv1605.08126OpenAlexW2963551765MaRDI QIDQ4608944

Martin Jacobo, Francisco M. Fernández, John P. Boyd, Paolo Amore, Peter N. Zhevandrov

Publication date: 29 March 2018

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08126

zbMATH Keywords

bound statestrapped modesdeformed waveguide

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Perturbation theories for operators and differential equations in quantum theory (81Q15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

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• Quantum waveguides
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• On the spectrum of the Dirichlet Laplacian on broken strips
• Binding and Scattering in Two-Dimensional Systems
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Discrete spectrum of cranked, branching, and periodic waveguides
• Bound states in weakly deformed strips and layers.

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