53 citations · 65 across the 3 of their papers we have counts for
3 papers
math-ph2012★ 12 cited
Tunneling resonances in systems without a classical trapping
D. Borisov, P. Exner, A. Golovina
In this paper we analyze a free quantum particle in a straight Dirichlet waveguide which has at its axis two Dirichlet barriers of lengths separated by a window of lengt…
math-ph2007
On the spectrum of two quantum layers coupled by a window
Denis Borisov
We consider the Dirichlet Laplacian in a domain two three-dimensional parallel layers having common boundary and coupled by a window. The window produces the bound states below the…
math-ph2003★ 53 cited
Exponential splitting of bound states in a waveguide with a pair of distant windows
D. Borisov, P. Exner
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 apart, and study the asy…