D. Borisov and P. Exner
Distant perturbation asymptotics in window-coupled waveguides.
I. The non-threshold case
(107K, LaTeX 2e with 1 EPS Figure)
ABSTRACT. We consider a pair of adjacent quantum waveguides, in
general of different widths, coupled laterally by a pair of
windows in the common boundary, not necessarily of the same
length, at a fixed distance. 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.