3 papers
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-ph2023
Non-local relativistic -shell interactions
Lukáš Heriban, Matěj Tušek
In this paper, new self-adjoint realizations of the Dirac operator in dimension two and three are introduced. It is shown that they may be associated with the formal expression $\m…
math-ph2019
Approximation of one-dimensional relativistic point interactions by regular potentials revised
Matěj Tušek
We show that the one-dimensional Dirac operator with quite general point interaction may be approximated in the norm resolvent sense by the Dirac operator with a scaled regular pot…