Interaction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field

Details Interaction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field Interaction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field

Publishing date

1999-07-21

URL

arxiv.org/abs/quant-ph/9907064v1

Journals

J.Exp.Theor.Phys. 86 (1998) 459; Zh.Eksp.Teor.Fiz. 113 (1998) 841-864

Science

Physics

Field

Quantum Physics

Additional info

29 pages, no figures

Type

Scientific paper

Abstract

The work examines the effect of multiple photon emission on the quantum mechanical state of an electron emitting synchrotron radiation and on the intensity of that radiation. Calculations are done with the variant of perturbation theory based on the use of extended coherent states. A general formula is derived for the number of emitted photons, which allows for taking into account their mutual interaction. A model problem is used to demonstrate the absence of the infrared catastrophe in the modified perturbation theory. Finally, the electron density matrix is calculated, and the analysis of this matrix makes it possible to conclude that the degree of the elecron's spatial localization increases with the passage of time if the electron is being accelerated.

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