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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 108, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.108 (Mi sigma234) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Straight Quantum Waveguide with Robin Boundary Conditions

Martin Jílek

Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Brehová 7, 11519 Prague, Czech Republic
Full-text PDF (388 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2007.108
Abstract: We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states. Further properties of the associated eigenvalues and eigenfunctions are studied numerically by the mode-matching technique.
Keywords: quantum waveguides; bound states; Robin boundary conditions.
Received: August 10, 2007; in final form November 8, 2007; Published online November 21, 2007
Bibliographic databases:
Document Type: Article
MSC: 47F05; 47B25; 81Q05
Language: English
Citation: Martin Jílek, “Straight Quantum Waveguide with Robin Boundary Conditions”, SIGMA, 3 (2007), 108, 12 pp.
Citation in format AMSBIB
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\by Martin J{\'\i}lek
\paper Straight Quantum Waveguide with Robin Boundary Conditions
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\vol 3
\papernumber 108
\totalpages 12
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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