The selfconsistent Pauli equation

Nader Masmoudi, Norbert J. Mauser

Research output: Contribution to journalArticlepeer-review

Abstract

We deal with consistent first order non-relativistic corrections (i.e. in the small parameter ε = 1/c, where c is the speed of light) of the Dirac-Maxwell system. We discuss a selfconsistent modeling of the Pauli equation as the O(ε) approximation of the Dirac equation. We suggest a coupling to the "magnetostatic" O(ε) approximation of the Maxwell equations consisting of Poisson equations for the four components of the potential. We sketch the semiclassical/nonrelativistic limits of this model.

Original languageEnglish (US)
Pages (from-to)19-24
Number of pages6
JournalMonatshefte fur Mathematik
Volume132
Issue number1
DOIs
StatePublished - 2001

Keywords

  • Dirac equation
  • Maxwell equation
  • Nonlinear PDE
  • Nonrelativistic limit
  • Poisson equation

ASJC Scopus subject areas

  • Mathematics(all)

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