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arXiv · 0711.3347

Straight Quantum Waveguide with Robin Boundary Conditions

Martin Jilek
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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.

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Martin Jilek. 2007-11-21. Straight Quantum Waveguide with Robin Boundary Conditions. https://doi.org/10.3842/sigma.2007.108

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