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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 the domain with a MIT-bag type boundary condition or in the whole space, with a suitably chosen zero order mass term.
This paper deals with the study of the two-dimensional Dirac operatorwith infinite mass boundary condition in a sector. We investigate the question ofself-adjointness depending on the aperture of the sector: when the sector is convexit is self-adjoin
We discuss the continuum limit of discrete Dirac operators on the square lattice in $mathbb R^2$ as the mesh size tends to zero. To this end, we propose a natural and simple embedding of $ell^2(mathbb Z_h^d)$ into $L^2(mathbb R^d)$ that enables us to
Depending on the behaviour of the complex-valued electromagnetic potential in the neighbourhood of infinity, pseudomodes of one-dimensional Dirac operators corresponding to large pseudoeigenvalues are constructed. This is a first systematic non-semi-
Let $$L_0=suml_{j=1}^nM_j^0D_j+M_0^0,,,,,D_j=frac{1}{i}frac{pa}{paxj}, quad xinRn,$$ be a constant coefficient first-order partial differential system, where the matrices $M_j^0$ are Hermitian. It is assumed that the homogeneous part is stron
We consider two-dimensional Pauli and Dirac operators with a polynomially vanishing magnetic field. The main results of the paper provide resolvent expansions of these operators in the vicinity of their thresholds. It is proved that the nature of the