dorsal/arxiv
View SchemaInteraction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field
| Authors | G. M. Filippov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907064 |
| URL | https://arxiv.org/abs/quant-ph/9907064 |
| DOI | 10.1134/1.558491 |
| Journal | J.Exp.Theor.Phys. 86 (1998) 459; Zh.Eksp.Teor.Fiz. 113 (1998) 841-864 |
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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"abstract": "The work examines the effect of multiple photon emission on the quantum\nmechanical state of an electron emitting synchrotron radiation and on the\nintensity of that radiation. Calculations are done with the variant of\nperturbation theory based on the use of extended coherent states. A general\nformula is derived for the number of emitted photons, which allows for taking\ninto account their mutual interaction. A model problem is used to demonstrate\nthe absence of the infrared catastrophe in the modified perturbation theory.\nFinally, the electron density matrix is calculated, and the analysis of this\nmatrix makes it possible to conclude that the degree of the elecron\u0027s spatial\nlocalization increases with the passage of time if the electron is being\naccelerated.",
"arxiv_id": "quant-ph/9907064",
"authors": [
"G. M. Filippov"
],
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"quant-ph"
],
"doi": "10.1134/1.558491",
"journal_ref": "J.Exp.Theor.Phys. 86 (1998) 459; Zh.Eksp.Teor.Fiz. 113 (1998)\n 841-864",
"title": "Interaction of Radiation and a Relativistic Electron in Motion in a Constant Magnetic Field",
"url": "https://arxiv.org/abs/quant-ph/9907064"
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