This paper deals with the massive three-dimensional Dirac operator coupled with a Lorentz
scalar shell interaction supported on a compact smooth surface. The rigorous definition of …

In this article we develop a systematic approach to treat Dirac operators $ A_
{\eta,\tau,\lambda} $ with singular electrostatic, Lorentz scalar, and anomalous magnetic …

In this article, Dirac operators A_ η, τ A η, τ coupled with combinations of electrostatic and
Lorentz scalar δ δ-shell interactions of constant strength η η and τ τ, respectively, supported …

In this work we consider the two-dimensional Dirac operator with general local singular
interactions supported on a closed curve. A systematic study of the interaction is performed …

In this paper the spectral properties of Dirac operators A η with electrostatic δ-shell
interactions of constant strength η supported on compact smooth surfaces in R 3 are studied …

We study the two-dimensional Dirac operator with a class of interface conditions along a
smooth closed curve, which model the so-called electrostatic and Lorentz scalar interactions …

We investigate quantum graphs with infinitely many vertices and edges without the common
restriction on the geometry of the underlying metric graph that there is a positive lower …

In this paper we study the nonlinear Dirac (NLD) equation on noncompact metric graphs
with localized Kerr nonlinearities, in the case of Kirchhoff-type conditions at the vertices …

The one-dimensional Dirac operator with a singular interaction term which is formally given
by A⊗| δ 0>< δ 0|, where A is an arbitrary 2× 2 matrix and δ 0 stands for the Dirac …

In this paper we prove that the Dirac operator A with an electrostatic ı-shell interaction of
critical strength D 2 supported on a C2-smooth compact surface† is self-adjoint in L2 …