48 citations · 238 across the 26 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…
Gap control by singular Schrödinger operators in a periodically structured metamaterial
Pavel Exner, Andrii Khrabustovskyi
We consider a family of -periodic Schrödinger operators with -interactions supported on a lattice of clos…