79 citations · 501 across the 68 of their papers we have counts for
11 papers · 1 filter
Integral representation of superoscillations via complex Borel measures and their convergence
Jussi Behrndt, Fabrizio Colombo, Peter Schlosser +1
In the last decade there has been a growing interest in superoscillations in various fields of mathematics, physics and engineering. However, while in applications as optics the lo…
Two-dimensional Dirac operators with general -shell interactions supported on a straight line
Jussi Behrndt, Markus Holzmann, Matěj Tušek
In this paper the two-dimensional Dirac operator with a general hermitian -shell interaction supported on a straight line is introduced as a self-adjoint operator and its spectr…
Schrödinger evolution of superoscillations with - and -potentials
Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo +1
In this paper we study the time persistence of superoscillations as the initial data of the time dependent Schrödinger equation with - and -potentials. It is shown that the…
Limiting absorption principle and scattering matrix for Dirac operators with -shell interactions
Jussi Behrndt, Markus Holzmann, Andrea Mantile +1
We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with electrostatic and Lorentz scalar -shell interactions supported on regular compac…
Scattering matrices and Dirichlet-to-Neumann maps
Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
A general representation formula for the scattering matrix of a scattering system consisting of two self-adjoint operators in terms of an abstract operator valued Titchmarsh-Weyl $…
Schrödinger operators with δ- and δ'-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
We investigate Schrödinger operators with δ- and δ'-interactions supported on hypersurfaces, which separate the Euclidean space into finitely many bounded and unbounded Lipschitz d…
Finite Rank Perturbations, Scattering Matrices and Inverse Problems
Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
In this paper the scattering matrix of a scattering system consisting of two selfadjoint operators with finite dimensional resolvent difference is expressed in terms of a matrix Ne…
Trace formulae for dissipative and coupled scattering systems
Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
For scattering systems consisting of a (family of) maximal dissipative extension(s) and a selfadjoint extension of a symmetric operator with finite deficiency indices, the spectral…
On Eisenbud's and Wigner's R-matrix: A general approach
J. Behrndt, H. Neidhardt, E. R. Racec +2
The main objective of this paper is to give a rigorous treatment of Wigner's and Eisenbud's -matrix method for scattering matrices of scattering systems consisting of two selfad…
Scattering Theory for Open Quantum Systems
J. Behrndt, M. M. Malamud, H. Neidhardt
Quantum systems which interact with their environment are often modeled by maximal dissipative operators or so-called Pseudo-Hamiltonians. In this paper the scattering theory for s…
Scattering matrices and Weyl functions
Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
For a scattering system consisting of selfadjoint extensions and of a symmetric operator with finite deficiency indices, the scattering matrix $\{S_\g…