Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force
We review the formulation of the problem of electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics of Stueckeleberg, Horwitz, and Piron. The gauge fields of this theory, in general, cause the mass of the particle to change...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/602784 |
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| _version_ | 1832566383775318016 |
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| author | Aviad Roitgrund Lawrence Horwitz |
| author_facet | Aviad Roitgrund Lawrence Horwitz |
| author_sort | Aviad Roitgrund |
| collection | DOAJ |
| description | We review the formulation of the problem of electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics of Stueckeleberg, Horwitz, and Piron. The gauge fields of this theory, in general, cause the mass of the particle to change. We study the four dynamical off-mass-shell orbit equations which result from the expansion of Green's function in the Lorentz force equation for the self-interaction. It appears that there is an attractor in this system which stabilizes the motion of the
relativistic charged electron. The attractor may acquire fractal characteristics in the presence of an external field and thus become a strange
attractor. |
| format | Article |
| id | doaj-art-00a52fc8e11049ecb56ec1c2954bc321 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-00a52fc8e11049ecb56ec1c2954bc3212025-02-03T01:04:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/602784602784Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz ForceAviad Roitgrund0Lawrence Horwitz1School of Physics, Tel Aviv University, Ramat Aviv 69978, IsraelSchool of Physics, Tel Aviv University, Ramat Aviv 69978, IsraelWe review the formulation of the problem of electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics of Stueckeleberg, Horwitz, and Piron. The gauge fields of this theory, in general, cause the mass of the particle to change. We study the four dynamical off-mass-shell orbit equations which result from the expansion of Green's function in the Lorentz force equation for the self-interaction. It appears that there is an attractor in this system which stabilizes the motion of the relativistic charged electron. The attractor may acquire fractal characteristics in the presence of an external field and thus become a strange attractor.http://dx.doi.org/10.1155/2010/602784 |
| spellingShingle | Aviad Roitgrund Lawrence Horwitz Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force Discrete Dynamics in Nature and Society |
| title | Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force |
| title_full | Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force |
| title_fullStr | Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force |
| title_full_unstemmed | Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force |
| title_short | Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force |
| title_sort | simulation of the radiation reaction orbits of a classical relativistic charged particle with generalized off shell lorentz force |
| url | http://dx.doi.org/10.1155/2010/602784 |
| work_keys_str_mv | AT aviadroitgrund simulationoftheradiationreactionorbitsofaclassicalrelativisticchargedparticlewithgeneralizedoffshelllorentzforce AT lawrencehorwitz simulationoftheradiationreactionorbitsofaclassicalrelativisticchargedparticlewithgeneralizedoffshelllorentzforce |