Interference in the radiation of two pointlike charges
Energy-momentum and angular momentum carried by electromagnetic field of two pointlike charged particles arbitrarily moving in flat space-time are presented. Apart from usual contributions to the Noether quantities produced separately by particles 1 and 2, the conservation laws contain also joint co...
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| Veröffentlicht in: | Journal of mathematical physics 2009-11, Vol.50 (11), p.112901-112901-37 |
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| container_end_page | 112901-37 |
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| container_issue | 11 |
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| container_title | Journal of mathematical physics |
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| creator | Yaremko, Yurij |
| description | Energy-momentum and angular momentum carried by electromagnetic field of two pointlike charged particles arbitrarily moving in flat space-time are presented. Apart from usual contributions to the Noether quantities produced separately by particles 1 and 2, the conservation laws contain also joint contribution due to the fields of both particles. The mixed part of Maxwell energy-momentum density is decomposed into bound and radiative components which are separately conserved off the world lines of particles. The former describes the deformation of electromagnetic clouds of “bare” charges due to mutual interaction while the latter defines the radiation which escapes to infinity. The bound terms contribute to particles’ individual 4-momenta while the radiative ones exert the radiation reaction. Analysis of energy-momentum and angular momentum balance equations results the Lorentz–Dirac equation as an equation of motion for a pointed charge under the influence of its own electromagnetic field as well as field produced by another charge. |
| doi_str_mv | 10.1063/1.3250149 |
| format | Article |
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Apart from usual contributions to the Noether quantities produced separately by particles 1 and 2, the conservation laws contain also joint contribution due to the fields of both particles. The mixed part of Maxwell energy-momentum density is decomposed into bound and radiative components which are separately conserved off the world lines of particles. The former describes the deformation of electromagnetic clouds of “bare” charges due to mutual interaction while the latter defines the radiation which escapes to infinity. The bound terms contribute to particles’ individual 4-momenta while the radiative ones exert the radiation reaction. Analysis of energy-momentum and angular momentum balance equations results the Lorentz–Dirac equation as an equation of motion for a pointed charge under the influence of its own electromagnetic field as well as field produced by another charge.</description><subject>ANGULAR MOMENTUM</subject><subject>CHARGED PARTICLES</subject><subject>CONSERVATION LAWS</subject><subject>DIRAC EQUATION</subject><subject>ELECTROMAGNETIC FIELDS</subject><subject>Electromagnetism</subject><subject>EQUATIONS OF MOTION</subject><subject>Exact sciences and technology</subject><subject>INTERFERENCE</subject><subject>Linear equations</subject><subject>MATHEMATICAL METHODS AND COMPUTING</subject><subject>Mathematical methods in physics</subject><subject>Mathematics</subject><subject>MAXWELL EQUATIONS</subject><subject>Physics</subject><subject>Sciences and techniques of general use</subject><subject>SPACE-TIME</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEUhYMoWKsL_8GguFCYmudMZuFCii8ouNF1SG8Tm1qTmqSK_96pU1SQurqb7xzO_RA6JHhAcMXOyYBRgQlvtlCPYNmUdSXkNuphTGlJuZS7aC-lGcaESM57qLrz2URrovFgCueLPDVF1BOnswu-CLbI76FYBOfz3D2bAqY6Ppm0j3asnidzsL599Hh99TC8LUf3N3fDy1EJnLFcColJrcFyoinjrMGADResEoB1DYYDM6yqJ5iMG8OssJYBkwAChGS1rMasj4673pCyUwlcNjCF4L2BrCihDeeCtNRRRy1ieF2alNUsLKNvh7WMqEiN66aFTjsIYkgpGqsW0b3o-KEIVit3iqi1u5Y9WRfqBHpuo_bg0neAUsqEaGjLXXTcatmXsc2lv0Ur51Urus2fbcq_hfiTVYuJ_Q_--8EnXbycjA</recordid><startdate>20091101</startdate><enddate>20091101</enddate><creator>Yaremko, Yurij</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20091101</creationdate><title>Interference in the radiation of two pointlike charges</title><author>Yaremko, Yurij</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c433t-58017acf41a234390c0e45365c0a7ce4c3e367d01b9e3f5ff3c38cc5c583786b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>ANGULAR MOMENTUM</topic><topic>CHARGED PARTICLES</topic><topic>CONSERVATION LAWS</topic><topic>DIRAC EQUATION</topic><topic>ELECTROMAGNETIC FIELDS</topic><topic>Electromagnetism</topic><topic>EQUATIONS OF MOTION</topic><topic>Exact sciences and technology</topic><topic>INTERFERENCE</topic><topic>Linear equations</topic><topic>MATHEMATICAL METHODS AND COMPUTING</topic><topic>Mathematical methods in physics</topic><topic>Mathematics</topic><topic>MAXWELL EQUATIONS</topic><topic>Physics</topic><topic>Sciences and techniques of general use</topic><topic>SPACE-TIME</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yaremko, Yurij</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yaremko, Yurij</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interference in the radiation of two pointlike charges</atitle><jtitle>Journal of mathematical physics</jtitle><date>2009-11-01</date><risdate>2009</risdate><volume>50</volume><issue>11</issue><spage>112901</spage><epage>112901-37</epage><pages>112901-112901-37</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>Energy-momentum and angular momentum carried by electromagnetic field of two pointlike charged particles arbitrarily moving in flat space-time are presented. Apart from usual contributions to the Noether quantities produced separately by particles 1 and 2, the conservation laws contain also joint contribution due to the fields of both particles. The mixed part of Maxwell energy-momentum density is decomposed into bound and radiative components which are separately conserved off the world lines of particles. The former describes the deformation of electromagnetic clouds of “bare” charges due to mutual interaction while the latter defines the radiation which escapes to infinity. The bound terms contribute to particles’ individual 4-momenta while the radiative ones exert the radiation reaction. 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| ispartof | Journal of mathematical physics, 2009-11, Vol.50 (11), p.112901-112901-37 |
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| source | AIP Journals Complete; AIP Digital Archive |
| subjects | ANGULAR MOMENTUM CHARGED PARTICLES CONSERVATION LAWS DIRAC EQUATION ELECTROMAGNETIC FIELDS Electromagnetism EQUATIONS OF MOTION Exact sciences and technology INTERFERENCE Linear equations MATHEMATICAL METHODS AND COMPUTING Mathematical methods in physics Mathematics MAXWELL EQUATIONS Physics Sciences and techniques of general use SPACE-TIME |
| title | Interference in the radiation of two pointlike charges |
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