36 citations · 224 across the 24 of their papers we have counts for
26 papers
Resonances in a Dirichlet quantum waveguide coupled to a cavity
Sylwia Kondej, Nikoloz Kurtskhalia
We consider a Dirichlet waveguide in () with an attached cavity. We show that if the cavity admits a small gap, then the original embedded eigenvalues turn…
Fermi's golden rule in tunneling models with quantum waveguides perturbed by Kato class measures
Sylwia Kondej, Kacper Ślipko
In this paper we consider two dimensional quantum system with an infinite waveguide of the width and a transversally invariant profile. Furthermore, we assume that at a distant…
Bound states of weakly deformed soft waveguides
Pavel Exner, Sylwia Kondej, Vladimir Lotoreichik
In this paper we consider the two-dimensional Schrödinger operator with an attractive potential which is a multiple of the characteristic function of an unbounded strip-shaped regi…
Soft quantum waveguides with an explicit cut-locus
Sylwia Kondej, David Krejcirik, Jan Kriz
We consider two-dimensional Schroedinger operators with an attractive potential in the form of a channel of a fixed profile built along an unbounded curve composed of a circular ar…
Spectral optimization for strongly singular Schrödinger operators with a star-shaped interaction
Pavel Exner, Sylwia Kondej
We discuss the spectral properties of singular Schrödinger operators in three dimensions with the interaction supported by an equilateral star, finite or infinite. In the finite ca…
Scattering on leaky wires in dimension three
Pavel Exner, Sylwia Kondej
We consider the scattering problem for a class of strongly singular Schrödinger operators in which can be formally written as where $α\…