Distant perturbation asymptotics in window-coupled waveguides. I. The nonthreshold case
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- 1 November 2006
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 47 (11)
Abstract
We consider a pair of straight adjacent quantum waveguides of constant, and in general different widths. These waveguides are coupled laterally by a pair of windows in the common boundary, not necessarily of the same length, at a distance 2l. The Hamiltonian is the respective Dirichlet Laplacian. We analyze the asymptotic behavior of the discrete spectrum as the window distance tends to infinity for the generic case, i.e., for eigenvalues of the corresponding one-window problems separated from the threshold.Keywords
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