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 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 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 …

Abstract Let Ω⊂ R 3 be an open set. We study the spectral properties of the free Dirac
operator H:=-i α·∇+ m β coupled with the singular potential V κ=(ϵ I 4+ μ β+ η (α· N)) δ∂ Ω …

In this paper, the spectral and scattering properties of a family of self-adjoint Dirac operators
in L^ 2 (Ω; C^ 4) L 2 (Ω; C 4), where Ω ⊂ R^ 3 Ω⊂ R 3 is either a bounded or an unbounded …

We discuss the spectral properties of three-dimensional Dirac operators with critical
combinations of electrostatic and Lorentz scalar shell interactions supported by a compact …

We consider the Dirac operators with singular potentials 1 DA, Φ, m, Γ δ Σ= DA, Φ, m+ Γ δ Σ
where 2 DA, Φ, m=∑ j= 1 n α ji∂ xj+ A j+ α n+ 1 m+ Φ IN is a Dirac operator on R n with …

Given an open set Ω⊂ R 3⁠, we deal with the spectral study of Dirac operators of the form H
a, τ= H+ A a, τ δ∂ Ω, where H is the free Dirac operator in R 3 and A a, τ is a bounded …

We consider the 2D Dirac operator with singular potentials 1 D _ A, Φ, Q_\sin u (x)=\left (D _
A, Φ+ Q_\sin\right) u (x),\quad x ∈ R^ 2, where 2 D _ a, Φ=\displaystyle ∑ j= 1^ 2 j\left (i x …

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