53 citations · 112 across the 4 of their papers we have counts for
4 papers
Leaky quantum graphs: approximations by point interaction Hamiltonians
P. Exner, K. Nemcova
We prove an approximation result showing how operators of the type in , where is a graph, can be modeled in the strong resolvent sense by point-…
Magnetic layers with periodic point perturbations
P. Exner, K. Nemcova
We study spectral properties of a spinless quantum particle confined to an infinite planar layer with hard walls which interacts with a periodic lattice of point perturbations and…
Bound states in point-interaction star-graphs
Pavel Exner, Katerina Nemcova
We discuss the discrete spectrum of the Hamiltonian describing a two-dimensional quantum particle interacting with an infinite family of point interactions. We suppose that the lat…
Quantum mechanics of layers with a finite number of point perturbations
Pavel Exner, Katerina Nemcova
We study spectral and scattering properties of a spinless quantum particle confined to an infinite planar layer with hard walls containing a finite number of point perturbations. A…