8 papers · 1 filter
Revisiting the Weak Coupling Phenomenon for Two-Dimensional Schrödinger Operators
Jussi Behrndt, Petr Siegl, Nicolas Weber
We study the existence of negative eigenvalues for two-dimensional Schrödinger operators with real-valued potentials in the weak coupling regime. In his pioneering paper [Simon 19…
Weak coupling for Schrödinger operators with complex potentials
Jussi Behrndt, Markus Holzmann, Petr Siegl +1
We study the discrete eigenvalues emerging from the threshold of the essential spectrum of one or two-dimensional Schrödinger operators with complex-valued -potentials in a…
Approximation of Dirac operators with -shell potentials in the norm resolvent sense, II. Quantitative results
Jussi Behrndt, Markus Holzmann, Christian Stelzer-Landauer
This paper is devoted to the approximation of two and three-dimensional Dirac operators with combinations of electrostatic and Lorentz scalar -shell i…
Approximation of Dirac operators with -shell potentials in the norm resolvent sense, I. Qualitative results
Jussi Behrndt, Markus Holzmann, Christian Stelzer
In this paper the approximation of Dirac operators with general -shell potentials supported on -curves in or -surfaces in , which may be…
Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann +1
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on…
On Spectral Properties of Restricted Fractional Laplacians with Self-adjoint Boundary Conditions on a Finite Interval
Jussi Behrndt, Markus Holzmann, Delio Mugnolo
We describe all self-adjoint realizations of the restricted fractional Laplacian with power on a bounded interval by imposing boundary conditions…