%0 Journal Article
%T Straight Quantum Waveguide with Robin Boundary Conditions
%A Martin Jilek
%J Mathematics
%D 2007
%I arXiv
%R 10.3842/SIGMA.2007.108
%X 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.
%U http://arxiv.org/abs/0711.3347v1