Straight Quantum Waveguide with Robin Boundary Conditions

Details Straight Quantum Waveguide with Robin Boundary Conditions Straight Quantum Waveguide with Robin Boundary Conditions

2007-11-21

arxiv.org/abs/0711.3347v1

SIGMA 3 (2007), 108, 12 pages

Physics

Mathematical Physics

This is a contribution to the Proc. of the 3-rd Microconference "Analytic and Algebraic Methods III"(June 19, 2007, Prague, Cz

Scientific paper

10.3842/SIGMA.2007.108

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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