Spectral theory of first-order systems: From crystals to Dirac operators

@article{BenArtzi2019SpectralTO,
  title={Spectral theory of first-order systems: From crystals to Dirac operators},
  author={Matania Ben-Artzi and Tomio Umeda},
  journal={Reviews in Mathematical Physics},
  year={2019}
}
Let [Formula: see text] be a constant coefficient first-order partial differential system, where the matrices [Formula: see text] are Hermitian. It is assumed that the homogeneous part is strongly propagative. In the non-homogeneous case it is assumed that the operator is isotropic. The spectral theory of such systems and their potential perturbations is expounded, and a Limiting Absorption Principle is obtained up to thresholds. Special attention is given to a detailed study of the Dirac and… 

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