Straight Quantum Waveguide with Robin Boundary Conditions

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dc.creatorJilek, Martin
dc.date2007-11-21
dc.date.accessioned2026-07-07T09:34:48Z
dc.date.available2026-07-07T09:34:48Z
dc.descriptionWe 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.
dc.descriptionThis is a contribution to the Proc. of the 3-rd Microconference "Analytic and Algebraic Methods III"(June 19, 2007, Prague, Czech Republic), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0711.3347
dc.identifierhttp://arxiv.org/abs/0711.3347
dc.identifierSIGMA 3 (2007), 108, 12 pages
dc.identifierdoi:10.3842/SIGMA.2007.108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159626
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectQuantum Physics
dc.titleStraight Quantum Waveguide with Robin Boundary Conditions
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