Spurious Modes in Dirac Calculations and How to Avoid Them
Mathematical Physics
2017-11-22 v2 math.MP
Numerical Analysis
Atomic Physics
Quantum Physics
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.
Cite
@article{arxiv.1306.5401,
title = {Spurious Modes in Dirac Calculations and How to Avoid Them},
author = {Mathieu Lewin and Eric Séré},
journal= {arXiv preprint arXiv:1306.5401},
year = {2017}
}
Comments
Chapter to be published in the book "Many-Electron Approaches in Physics, Chemistry and Mathematics: A Multidisciplinary View", edited by Volker Bach and Luigi Delle Site