Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case

Details Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case

2006-06-07

arxiv.org/abs/math-ph/0606022v1

J. Math. Phys. 2006. V. 47. No. 11. P. 113502-1 -- 113502-24

Physics

Mathematical Physics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698455