Spurious Modes in Dirac Calculations and How to Avoid Them

Mathieu Lewin, Éric Séré

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationMathematical Physics Studies
PublisherSpringer
Pages31-52
Number of pages22
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

Publication series

NameMathematical Physics Studies
VolumePart F1112
ISSN (Print)0921-3767
ISSN (Electronic)2352-3905

Keywords

  • Coulomb Potential
  • Dirac Operator
  • Essential Spectrum
  • Lower Spinor
  • Spinor Basis

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