Spurious Modes in Dirac Calculations and How to Avoid Them

@article{Lewin2014SpuriousMI,
  title={Spurious Modes in Dirac Calculations and How to Avoid Them},
  author={Mathieu Lewin and Eric S'er'e},
  journal={arXiv: Mathematical Physics},
  year={2014},
  pages={31-52}
}
In this paper we consider the problem of the occurrence of spurious modes when computing the eigenvalues of Dirac operators, with the motivation to describe relativistic electrons in an atom or a molecule. We present recent mathematical results which we illustrate by simple numerical experiments. We also discuss open problems. 

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