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Chapitre D'ouvrage Année : 2014

Spurious Modes in Dirac Calculations and How to Avoid Them

Mathieu Lewin
Eric Séré

Résumé

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.

Dates et versions

hal-00840762 , version 1 (03-07-2013)

Identifiants

Citer

Mathieu Lewin, Eric Séré. Spurious Modes in Dirac Calculations and How to Avoid Them. Volker Bach and Luigi Delle Site. Many-Electron Approaches in Physics, Chemistry and Mathematics, Springer International Publishing, pp.31-52, 2014, Mathematical Physics Studies, 978-3-319-06378-2. ⟨10.1007/978-3-319-06379-9_2⟩. ⟨hal-00840762⟩
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