Spurious Modes in Dirac Calculations and How to Avoid Them

Séré, Eric; Lewin, Mathieu

Séré, Eric; Lewin, Mathieu (2013), Spurious Modes in Dirac Calculations and How to Avoid Them, in Delle Site, Luigi; Bach, Volker, Many-Electron Approaches in Physics, Chemistry and Mathematics A Multidisciplinary View, Springer : Berlin, p. 31-52. http://dx.doi.org/10.1007/978-3-319-06379-9_2

Type

Chapitre d'ouvrage

External document link

http://fr.arxiv.org/abs/1306.5401

Date

2013

Book title

Many-Electron Approaches in Physics, Chemistry and Mathematics A Multidisciplinary View

Book author

Delle Site, Luigi; Bach, Volker

Publisher

Springer

Series title

Mathematical Physics Studies

Published in

Berlin

ISBN

978-3-319-06378-2

Pages

31-52

Abstract (EN)

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.

Subjects / Keywords

relativistic electrons; Dirac operators