Semiclassical asymptotics for the Maxwell - Dirac system

C. Sparber; P. Markowich

doi:10.1063/1.1604455

Semiclassical asymptotics for the Maxwell - Dirac system

C. Sparber^*, P. Markowich

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

27 Scopus citations

Abstract

We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order O(√ε) is performed, where the small semiclassical parameter ε ≪ 1 denotes the microscopic/macroscopic scale ratio.

Original language	English (US)
Pages (from-to)	4555-4572
Number of pages	18
Journal	Journal of Mathematical Physics
Volume	44
Issue number	10
DOIs	https://doi.org/10.1063/1.1604455
State	Published - Oct 1 2003
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1604455

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title = "Semiclassical asymptotics for the Maxwell - Dirac system",

abstract = "We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order O(√ε) is performed, where the small semiclassical parameter ε ≪ 1 denotes the microscopic/macroscopic scale ratio.",

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AU - Markowich, P.

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AB - We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order O(√ε) is performed, where the small semiclassical parameter ε ≪ 1 denotes the microscopic/macroscopic scale ratio.

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DO - 10.1063/1.1604455

M3 - Review article

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EP - 4572

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Semiclassical asymptotics for the Maxwell - Dirac system

Abstract

ASJC Scopus subject areas

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