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 …

The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass
m> 0 lies outside a smooth enough and bounded open set Ω⊂ R3, it is proved that its …

Motivated by relativistic materials, we develop a numerical scheme to support existing or
state new conjectures in the spectral optimisation of eigenvalues of the Dirac operator …

We make a spectral analysis of the massive Dirac operator in a tubular neighbourhood of an
unbounded planar curve, subject to infinite mass boundary conditions. Under general …

The main result of this paper is a sharp upper bound on the first positive eigenvalue of Dirac
operators in two dimensional simply connected C 3-domains with infinite mass boundary …

We show that the eigenvalues of the intrinsic Dirac operator on the boundary of a Euclidean
domain can be obtained as the limits of eigenvalues of Euclidean Dirac operators, either in …

We investigate the spectrum of the Dirac operator with infinite mass boundary conditions
posed in a tubular neighborhood of a smooth compact hypersurface in R n without …

We study Dirac operators on two-dimensional domains coupled to a magnetic field
perpendicular to the plane. We focus on the infinite-mass boundary condition (also called …

We investigate spectral features of the Dirac operator with infinite mass boundary conditions
in a smooth bounded domain of R 2. Motivated by spectral geometric inequalities, we prove …

We study spectral properties of Dirac operators on bounded domains Ω⊂ R 3 with boundary
conditions of electrostatic and Lorentz scalar type and which depend on a parameter τ∈ R; …