Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …

We review recent developments in the theory of 1-D Schrödinger operators with local point
interactions on a discrete set. The progress in this area was stimulated by recent advances …

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 …

Relativistic effects are of major importance for understanding the properties of heavier atoms
and molecules. Volumes I-III of Relativistic Theory of Atoms and Molecules constitute the …

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 …

In this paper the two-dimensional Dirac operator with a general hermitian δ-shell interaction
supported on a straight line is introduced as a self-adjoint operator and its spectral …

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 …