79 citations · 501 across the 68 of their papers we have counts for
6 papers · 1 filter
The fate of Landau levels under -interactions
Jussi Behrndt, Markus Holzmann, Vladimir Lotoreichik +1
We consider the self-adjoint Landau Hamiltonian in whose spectrum consists of infinitely degenerate eigenvalues , , and the pertu…
Spectral transition for Dirac operators with electrostatic -shell potentials supported on the straight line
Jussi Behrndt, Markus Holzmann, Matěj Tušek
In this note the two dimensional Dirac operator with an electrostatic -shell interaction of strength supported on a straight line is studied. We observe a…
Singular Schrödinger operators with prescribed spectral properties
Jussi Behrndt, Andrii Khrabustovskyi
The paper deals with singular Schrödinger operators of the form \begin{gather*} -{\mathrm{d}^2\over \mathrm{d} x^2 } + \sum_{k\in\mathbb{Z} }γ_k δ(\cdot-z_k),\quad γ_k\in\mathbb{R}…
Perturbations of periodic Sturm--Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We study perturbations of the self-adjoint periodic Sturm--Liouville operator \[ A_0 = \frac{1}{r_0}\left(-\frac{\mathrm d}{\mathrm dx} p_0 \frac{\mathrm d}{\mathrm dx} + q_0\right…
Schrödinger operators with -potentials supported on unbounded Lipschitz hypersurfaces
Jussi Behrndt, Vladimir Lotoreichik, Peter Schlosser
In this note we consider the self-adjoint Schrödinger operator in , , with a -potential supported on a Lipschitz hypersurface $Σ\subse…
A unified approach to Schrödinger evolution of superoscillations and supershifts
Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo +1
Superoscillating functions and supershifts appear naturally in weak measurements in physics. Their evolution as initial conditions in the time dependent Schrödinger equation is an…