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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…
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…
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…
Spectral analysis of the Dirac operator with a singular interaction on a broken line
Dale Frymark, Markus Holzmann, Vladimir Lotoreichik
We consider the one-parametric family of self-adjoint realizations of the two-dimensional massive Dirac operator with a Lorentz scalar -shell interaction of strength $τ\in\mathb…