Synchrotron radiation treated by the Weizsaecker-Williams method of virtual quanta

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Compton Effect, Heisenberg Theory, Magnetic Fields, Quantum Electrodynamics, Synchrotron Radiation, Lorentz Force, Protons

Scientific paper

The method of virtual quanta is employed in a treatment of synchrotron radiation. It is shown that classical radiation is adequately described as Thomson scattering of magnetic field virtual photons by the electron. However, when gamma B = 10 to the 14th Gauss, where gamma is the electron Lorentz factor, Compton scattering becomes important. The result is a reduction in the synchrotron loss rate which agrees closely with quantum electrodynamics. Classical theory fails to produce a cutoff in the emission spectrum at the electron energy, because it ignores the uncertainty principle, and assumes that the electron motion is well-defined at very short times. As a corollary, it is also suggested that the influence of virtual quanta on protons and nuclei sets upper limits on their energy in a given magnetic field.

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