1 citations · 1 across the 6 of their papers we have counts for
6 papers
Semiclassical resonances under local magnetic fields
Pavel Exner, Ayman Kachmar
We study resonances for the semiclassical magnetic Laplacian in the full plane with a compactly supported magnetic field in the framework of semiclassical complex scaling and black…
Discrete spectrum from local perturbations of leaky curves
Pavel Exner
We discuss spectrum of a class of singular Schrödinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations…
Quantum graph resonances by cut-off technique
Pavel Exner, Jiří Lipovský, Jan Pekař
We demonstrate how resonances in a quantum graph consisting of a compact core and semi-infinite leads can be identified from the eigenvalue behavior of the cut-off system.
On two-dimensional Dirac operators with -shell interactions supported on unbounded curves with straight ends
Jussi Behrndt, Pavel Exner, Markus Holzmann +1
In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic -shell interact…
On the bound states of magnetic Laplacians on wedges
P. Exner, V. Lotoreichik, A. Pérez-Obiol
This paper is mainly inspired by the conjecture about the existence of bound states for magnetic Neumann Laplacians on planar wedges of any aperture . So far, a proof w…
A model of interband radiative transitions
J. Dittrich, P. Exner, M. Hirokawa
We consider a simple model which is a caricature of a crystal interacting with a radiation field. The model has two bands of continuous spectrum and the particle can pass from the…