Volume 2, Issue 4, October 2016, Page: 28-30
On the Perturbation Theory in Quantum Electrodynamics Using the Wave Functions of the Dressed States
Yuriy N. Zayko, Department of Applied Informatics, Faculty of Public Administration, Russian Presidential Academy of National Economy and Public Administration, Stolypin Volga Region Institute, Saratov, Russia
Received: Aug. 4, 2016;       Accepted: Aug. 15, 2016;       Published: Sep. 6, 2016
DOI: 10.11648/j.ijamtp.20160204.11      View  3176      Downloads  96
Abstract
The paper considers the possibility of constructing a perturbation theory for problems of quantum electrodynamics, which is based on the wave functions of so-called "dressed" electron, unlike traditional perturbation theory, which uses the wave functions of the "bare" electrons. To investigate the wave functions of the "dressed" electron a numerical investigation of associated Dirac-Maxwell equations was performed in the approximation of small electron pulses. An expression for the energy eigenvalues of the considered self-consistent problem was found in a quasi-classical approximation as well as an estimation of the lifetime of the "dressed" electron and the effective value of the electron charge.
Keywords
Photon, Electron, Quantum Electrodynamics, Perturbation Theory, Divergence, Renormalization
To cite this article
Yuriy N. Zayko, On the Perturbation Theory in Quantum Electrodynamics Using the Wave Functions of the Dressed States, International Journal of Applied Mathematics and Theoretical Physics. Vol. 2, No. 4, 2016, pp. 28-30. doi: 10.11648/j.ijamtp.20160204.11
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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