Publications (79)
Bound States in Curved Quantum Layers
Pierre Duclos, Pavel Exner, David Krejcirik
Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
Pavel Exner, Olaf Post
Berry phase in magnetic systems with point perturbations
Pavel Exner, Vladimir A. Geyler
Enhanced binding revisited for a spinless particle in non-relativistic QED
Isabelle Catto, Pavel Exner, Christian Hainzl
Inverse scattering problem for quantum graph vertices
Taksu Cheon, Pavel Exner, Ondrej Turek
Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics
Pavel Exner, Jiri Lipovsky
Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder
Pavel Exner, Alain Joye
Weakly coupled states on branching graphs
Pavel Exner
Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer
Pavel Exner, Vladimir Lotoreichik
Bound states in point-interaction star-graphs
Pavel Exner, Katerina Nemcova
Spectral and resonance properties of Smilansky Hamiltonian
Pavel Exner, Vladimir Lotoreichik, Miloš Tater
Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
Pavel Exner, Pavel Stovicek, Petr Vytras
Leaky Quantum Graphs: A Review
Pavel Exner
Equivalence of resolvent and scattering resonances on quantum graphs
Pavel Exner, JiÅà Lipovský
Solvable models of resonances and decays
Pavel Exner
On Dirac operators in $\mathbb{R}^3$ with electrostatic and Lorentz scalar $δ$-shell interactions
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions
Pavel Exner
Approximations of quantum-graph vertex couplings by singularly scaled rank-one operators
Pavel Exner, Stepan Manko
Absolute continuity in periodic thin tubes and strongly coupled leaky wires
Francois Bentosela, Pierre Duclos, Pavel Exner
Scattering on leaky wires in dimension three
Pavel Exner, Sylwia Kondej
Spectral filtering in quantum Y-junction
Taksu Cheon, Pavel Exner, Ondrej Turek
Berry phase for a potential well transported in a homogeneous magnetic field
Pavel Exner, Vladimir A. Geyler
Convergence of resonances on thin branched quantum wave guides
Pavel Exner, Olaf Post
Quantum networks modelled by graphs
Pavel Exner, Olaf Post
The Landau Hamiltonian with $δ$-potentials supported on curves
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
Approximations of permutation-symmetric vertex couplings in quantum graphs
Pavel Exner, Ondrej Turek
Spectral optimization for strongly singular Schrödinger operators with a star-shaped interaction
Pavel Exner, Sylwia Kondej
An approximation to $δ'$ couplings on graphs
Taksu Cheon, Pavel Exner
On relations between stable and Zeno dynamics in a leaky graph decay model
Pavel Exner, Takashi Ichinose, Sylwia Kondej
Schrödinger operators with $δ$-interactions supported on conical surfaces
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
Spectral Theory of Infinite Quantum Graphs
Pavel Exner, Aleksey Kostenko, Mark Malamud +1
On the absence of absolutely continuous spectra for Schrödinger operators on radial tree graphs
Pavel Exner, Jiri Lipovsky
Magnetoresonances on a lasso graph
Pavel Exner
Edge currents in the absence of edges
Pavel Exner, Alain Joye, Hynek Kovarik
Periodic quantum graphs from the Bethe-Sommerfeld perspective
Pavel Exner, OndÅej Turek
Persistent currents due to point obstacles
Taksu Cheon, Pavel Exner
Spectral properties of Schroedinger operators with a strongly attractive delta interaction supported by a surface
Pavel Exner
Approximation of Schrödinger operators with $δ$-interactions supported on hypersurfaces
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
Built-up structure criticality
Daniel Vasata, Pavel Exner, Petr Seba
Gap control by singular Schrödinger operators in a periodically structured metamaterial
Pavel Exner, Andrii Khrabustovskyi
A family of quantum graph vertex couplings interpolating between different symmetries
Pavel Exner, OndÅej Turek, MiloÅ¡ Tater
Multiple bound states in scissor-shaped waveguides
Evgeny N. Bulgakov, Pavel Exner, Konstantin N. Pichugin +1
Probability current tornado loops in three-dimensional scattering
Pavel Exner, Petr Seba
Magnetic strip waveguides
Pavel Exner, Hynek Kovarik
Stability of driven systems with growing gaps, Quantum rings and Wannier ladders
Joachim Asch, Pierre Duclos, Pavel Exner
A duality between Schroedinger operators on graphs and certain Jacobi matrices
Pavel Exner
On the spectral properties of Dirac operators with electrostatic $δ$-shell interactions
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees
Pavel Exner, Christian Seifert, Peter Stollmann
Extended Standard Map with Spatio-Temporal Asymmetry
Taksu Cheon, Pavel Exner, Petr Seba
Spectral geometry in a rotating frame: properties of the ground state
Diana Barseghyan, Pavel Exner
Band spectra of rectangular graph superlattices
Pavel Exner, Ralf Gawlista
Approximation of a general singular vertex coupling in quantum graphs
Taksu Cheon, Pavel Exner, Ondrej Turek
Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
Pavel Exner, Jiri Lipovsky
Strong coupling asymptotics for a singular Schroedinger operator with an interaction supported by an open arc
Pavel Exner, Konstantin Pankrashkin
Schrödinger operators with δ- and δ'-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
Leaky quantum wire and dots: a resonance model
Pavel Exner, Sylwia Kondej
Trotter-Kato product formula for unitary groups
Pavel Exner, Hagen Neidhardt
Geometrically induced spectral effects in tubes with a mixed Dirichlet-Neumann boundary
Fedor L. Bakharev, Pavel Exner
Contact interactions on graph superlattices
Pavel Exner
Bound states due to a strong $δ$ interaction supported by a curved surface
Pavel Exner, Sylwia Kondej
High-energy asymptotics of the spectrum of a periodic square-lattice quantum graph
Pavel Exner, Ondrej Turek
Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature
Pavel Exner, Evans M. Harrell, Michael Loss
Generalized interactions supported on hypersurfaces
Pavel Exner, Jonathan Rohleder
Necklaces with interacting beads: isoperimetric problems
Pavel Exner
Optimization of the lowest eigenvalue for leaky star graphs
Pavel Exner, Vladimir Lotoreichik
Asymptotics of the bound state induced by $δ$-interaction supported on a weakly deformed plane
Pavel Exner, Sylwia Kondej, Vladimir Lotoreichik
Wave Function Shredding by Sparse Quantum Barriers
Taksu Cheon, Pavel Exner, Petr Seba
Tripartite connection condition for quantum graph vertex
Taksu Cheon, Pavel Exner, Ondrej Turek
On the spectrum of leaky surfaces with a potential bias
Pavel Exner
On resonances and bound states of Smilansky Hamiltonian
Pavel Exner, Vladimir Lotoreichik, Miloš Tater
Point interactions in a tube
Pavel Exner
A spectral isoperimetric inequality for cones
Pavel Exner, Vladimir Lotoreichik
Anomalous Pauli electron states for magnetic fields with tails
Pavel Exner, Masao Hirokawa, Osamu Ogurisu
Evanescent modes in a multiple scattering factorization
Pavel Exner, Milos Tater
Sufficient conditions for the anti-Zeno effect
Pavel Exner
On the spectrum of narrow Neumann waveguide with periodically distributed $δ'$ traps
Pavel Exner, Andrii Khrabustovskyi
A single-mode quantum transport in serial-structure geometric scatterers
Pavel Exner, Milos Tater, David Vanek
A magnetic version of the Smilansky-Solomyak model
Diana Barseghyan, Pavel Exner
Vertex coupling in quantum graphs: approximations by scaled Schroedinger operators
Pavel Exner