40 citations · 107 across the 8 of their papers we have counts for
8 papers · 1 filter
On relations between stable and Zeno dynamics in a leaky graph decay model
Pavel Exner, Takashi Ichinose, Sylwia Kondej
We use a caricature model of a system consisting of a quantum wire and a finite number of quantum dots, to discuss relation between the Zeno dynamics and the stable one which gover…
Sufficient conditions for the anti-Zeno effect
Pavel Exner
The ideal anti-Zeno effect means that a perpetual observation leads to an immediate disappearance of the unstable system. We present a straightforward way to derive sufficient cond…
Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
Pavel Exner, Pavel Stovicek, Petr Vytras
The most general admissible boundary conditions are derived for an idealised Aharonov-Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic fie…
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…
A single-mode quantum transport in serial-structure geometric scatterers
Pavel Exner, Milos Tater, David Vanek
We study transport in quantum systems consisting of a finite array of N identical single-channel scatterers. A general expression of the S matrix in terms of the individual-element…
Berry phase for a potential well transported in a homogeneous magnetic field
Pavel Exner, Vladimir A. Geyler
We consider a two-dimensional particle of charge interacting with a homogeneous magnetic field perpendicular to the plane and a potential well which is transported along a clos…