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Quantum processes in the field of a two-frequency circularly polarized plane electromagnetic wave

An Yu1,2 and H. Takahashi1

  • 1Brookhaven National Laboratory, Upton, New York 11973
  • 2Physics Department, Tsinghua University, Beijing 100084, China

Phys. Rev. E 57, 2276 – Published 1 February, 1998

DOI: https://doi.org/10.1103/PhysRevE.57.2276

Abstract

We solve Dirac’s equation for an electron in the field of a two-frequency plane electromagnetic wave, deriving general formulas for the probabilities of radiation of an electromagnetic wave by the electron, and for the probabilities for pair production by a photon when the two-frequency wave is circularly polarized. In contrast to the case of a monochromatic-plane electromagnetic wave, when an electron is in the field of a two-frequency circularly polarized wave, the emission rates of various “biharmonic photons” are affected by interference between the two waves. When a high-energy photon is in such a field, similar interference effects arise in the process of pair production.

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