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20062026
most citedSchrödinger operators with delta and delta'-potentials supported on hypersurfaces

79 citations · 501 across the 68 of their papers we have counts for

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Showing 2023 · math.SPShow all

5 papers · 2 filters

math.SP2023

Boundary value problems for adjoint pairs of operators

Jussi Behrndt

The notion of quasi boundary triples and their Weyl functions from extension theory of symmetric operators is extended to the general framework of adjoint pairs of operators under…

math.SP2023

Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities

Jussi Behrndt, Dale Frymark, Markus Holzmann +1

For a family of self-adjoint Dirac operators subject to generalized MIT bag boundary conditions on domains in it is shown that…

math.SP2023

On two-dimensional Dirac operators with -shell interactions supported on unbounded curves with straight ends

Jussi Behrndt, Pavel Exner, Markus Holzmann +1

In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic -shell interact…

math.SP2023

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 b…

math.SP2023

Perturbation and spectral theory for singular indefinite Sturm-Liouville operators

Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1

We study singular Sturm-Liouville operators of the form \[ \frac{1}{r_j}\left(-\frac{\mathrm d}{\mathrm dx}p_j\frac{\mathrm d}{\mathrm dx}+q_j\right),\qquad j=0,1, \] in $L^2((a,b)…