Markus Holzmann

most citedNeural Wave Functions for High-Pressure Atomic Hydrogen

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math.SP2026

Approximation of magnetic SchrÃ¶dinger operators with $I^´$ -interactions supported on networks

Markus Holzmann

This paper deals with the approximation of a magnetic SchrÃ¶dinger operator with a singular $I^´$ -potential that is formally given by $(i \nabla + A)^{2} + Q + I^\pm I^´_{I^} £$ by SchrÃ¶dinge…

math.SP2025

Weak coupling for SchrÃ¶dinger 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 SchrÃ¶dinger operators with complex-valued $L^{p}$ -potentials in a…

math.SP2025

Approximation of Dirac operators with $I^´$ -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 $H_{V I^´_{I^} £}$ with combinations of electrostatic and Lorentz scalar $I^´$ -shell i…

math.SP2025

Approximation of Dirac operators with $I^´$ -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 $I^´$ -shell potentials supported on $C^{2}$ -curves in $R^{2}$ or $C^{2}$ -surfaces in $R^{3}$ , which may be…

math.SP2025

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint SchrÃ¶dinger 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…

math.SP2025

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 $(- I^)^{a}$ with power $a \in (\frac{1}{2}, 1)$ on a bounded interval by imposing boundary conditions…

Approximation of magnetic SchrÃ¶dinger operators with I^´-interactions supported on networks

Weak coupling for SchrÃ¶dinger operators with complex potentials

Approximation of Dirac operators with I^´-shell potentials in the norm resolvent sense, II. Quantitative results

Approximation of Dirac operators with I^´-shell potentials in the norm resolvent sense, I. Qualitative results

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint SchrÃ¶dinger operators

On Spectral Properties of Restricted Fractional Laplacians with Self-adjoint Boundary Conditions on a Finite Interval

Approximation of magnetic SchrÃ¶dinger operators with $I^´$ -interactions supported on networks

Approximation of Dirac operators with $I^´$ -shell potentials in the norm resolvent sense, II. Quantitative results

Approximation of Dirac operators with $I^´$ -shell potentials in the norm resolvent sense, I. Qualitative results