53 citations · 112 across the 4 of their papers we have counts for
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math-ph2003★ 53 cited
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-…
math-ph2002★ 19 cited
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…
math-ph2001★ 31 cited
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…