48 citations · 238 across the 26 of their papers we have counts for
7 papers · 1 filter
The Landau Hamiltonian with -potentials supported on curves
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
The spectral properties of the singularly perturbed self-adjoint Landau Hamiltonian in with a -potential supported on a finite -s…
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\…
Gap opening in two-dimensional periodic systems
D. I. Borisov, P. Exner
We present a new method of gap control in two-dimensional periodic systems with the perturbation consisting of a second-order differential operator and a family of narrow potential…
Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions
Pavel Exner
This paper summarizes the contents of a plenary talk at the Pan African Congress of Mathematics held in Rabat in July 2017. We provide a survey of recent results on spectral proper…
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
Pavel Exner, Vladimir Lotoreichik
We perform quantitative spectral analysis of the self-adjoint Dirichlet Laplacian on an unbounded, radially symmetric (generalized) parabolic layer $\mathcal{P}\subset…
A family of quantum graph vertex couplings interpolating between different symmetries
Pavel Exner, Ondřej Turek, Miloš Tater
The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the type and a coupling introduced recently by two of the authors which e…