53 citations · 112 across the 4 of their papers we have counts for
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quant-ph2001★ 9 cited
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…
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…