79 citations · 501 across the 68 of their papers we have counts for
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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 197…
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 inte…
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…
Weak Coupling and Spectral Instability for Neumann Laplacians
Jussi Behrndt, Fritz Gesztesy, Henk de Snoo
We prove an abstract criterion on spectral instability of nonnegative selfadjoint extensions of a symmetric operator and apply this to self-adjoint Neumann Laplacians on bounded Li…