40 citations · 107 across the 8 of their papers we have counts for
Showing 2003Show all
2 papers · 1 filter
math-ph2003★ 2 cited
Leaky quantum wire and dots: a resonance model
Pavel Exner, Sylwia Kondej
We discuss a model of a leaky quantum wire and a family of quantum dots described by Laplacian in with an attractive singular perturbation supported by a line a…
math.SP2003★ 17 cited
Absolute continuity in periodic thin tubes and strongly coupled leaky wires
Francois Bentosela, Pierre Duclos, Pavel Exner
Using a perturbative argument, we show that in any finite region containing the lowest transverse eigenmode, the spectrum of a periodically curved smooth Dirichlet tube in two or t…