Charged particles in an intense, plane electromagnetic wave: Limitations of the nonrelativistic theory

DOI10.1063/1.525718zbMath0509.76109OpenAlexW1627822421MaRDI QIDQ4749518

Kai Drühl, John K. McIver

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525718

zbMATH Keywords

Klein-Gordon equationlow frequency limitnonrelativistic approximationWKB calculationsGalilean frame of reference at speed of lightgaps in momentum spectrumperturbation series expansion for eigenvalues of Mathieu's equationplane wave electromagnetic field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) Electromagnetic interaction; quantum electrodynamics (81V10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Hamilton-Jacobi equations in mechanics (70H20) Motion of charged particles (78A35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Spontaneous emission of radiation by metallic electrons in the presence of electromagnetic fields of surface plasmon oscillations

Cites Work

• The asymptotics of the gap in the Mathieu equation

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