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- W2031570685 abstract "We consider Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann ``windows'' of the same length the centers of which are $2l$ apart, and study the asymptotic behaviour of the discrete spectrum as $ltoinfty$. It is shown that there are pairs of eigenvalues around each isolated eigenvalue of a single-window strip and their distances vanish exponentially in the limit $ltoinfty$. We derive an asymptotic expansion also in the case where a single window gives rise to a threshold resonance which the presence of the other window turns into a single isolated eigenvalue." @default.
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- W2031570685 date "2004-02-24" @default.
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- W2031570685 title "Exponential splitting of bound states in a waveguide with a pair of distant windows" @default.
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- W2031570685 doi "https://doi.org/10.1088/0305-4470/37/10/007" @default.
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