# 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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