Geodesic
Straight Quantum Waveguide with Robin Boundary Conditions
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2007_3_a107,
     author = {Martin J{\'\i}lek},
     title = {Straight {Quantum} {Waveguide} with {Robin} {Boundary} {Conditions}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2007},
     volume = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a107/}
}
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Martin Jílek. Straight Quantum Waveguide with Robin Boundary Conditions. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a107/

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