181 citations · 3.2k across the 184 of their papers we have counts for
8 papers · 1 filter
Large gaps in point-coupled periodic systems of manifolds
J. Bruening, P. Exner, V. A. Geyler
We study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the t…
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 due to a strong interaction supported by a curved surface
Pavel Exner, Sylwia Kondej
We study the Schrödinger operator in with a interaction supported by an infinite non-planar surface which is smooth, admits a global normal paramet…
Multiple bound states in scissor-shaped waveguides
Evgeny N. Bulgakov, Pavel Exner, Konstantin N. Pichugin +1
We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at…
Curvature-induced bound states for a interaction supported by a curve in
Pavel Exner, Sylwia Kondej
We study the Laplacian in perturbed on an infinite curve by a interaction defined through boundary conditions which relate the corresponding generalized…
Extended Standard Map with Spatio-Temporal Asymmetry
Taksu Cheon, Pavel Exner, Petr Seba
We analyze the transport properties of a set of symmetry-breaking extensions %, both spatial and temporal, of the Chirikov--Taylor Map. The spatial and temporal asymmetries result…