The selfconsistent Pauli equation

Nader Masmoudi; Norbert J. Mauser

doi:10.1007/s006050170055

The selfconsistent Pauli equation

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	19-24
Number of pages	6
Journal	Monatshefte fur Mathematik
Volume	132
Issue number	1
DOIs	https://doi.org/10.1007/s006050170055
State	Published - 2001

Keywords

Dirac equation
Maxwell equation
Nonlinear PDE
Nonrelativistic limit
Poisson equation

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s006050170055

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AU - Mauser, Norbert J.

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AB - 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.

KW - Dirac equation

KW - Maxwell equation

KW - Nonlinear PDE

KW - Nonrelativistic limit

KW - Poisson equation

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JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 1

ER -

The selfconsistent Pauli equation

Abstract

Keywords

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