40 citations · 107 across the 8 of their papers we have counts for
8 papers · 1 filter
Berry phase in magnetic systems with point perturbations
Pavel Exner, Vladimir A. Geyler
We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interactio…
Magnetic strip waveguides
Pavel Exner, Hynek Kovarik
We analyze the spectrum of the "local" Iwatsuka model, i.e. a two-dimensional charged particle interacting with a magnetic field which is homogeneous outside a finite strip and tra…
Some properties of the one-dimensional generalized point interactions (a torso)
P. Exner, H. Grosse
This text is a part of an unfinished project which deals with the generalized point interaction (GPI) in one dimension. We employ two natural parametrizations, which are known but…
Anomalous Pauli electron states for magnetic fields with tails
Pavel Exner, Masao Hirokawa, Osamu Ogurisu
We consider a two-dimensional electron with an anomalous magnetic moment, g>2, interacting with a nonzero magnetic field B perpendicular to the plane which gives rise to a flux F.…
Point interactions in a tube
Pavel Exner
We discuss discuss spectral and scattering properties of a particle confined to a straight Dirichlet tube in with a family of point interactions.
Edge currents in the absence of edges
Pavel Exner, Alain Joye, Hynek Kovarik
We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to b…