VTechWorks staff will be away for the Thanksgiving holiday beginning at noon on Wednesday, November 27, through Friday, November 29. We will resume normal operations on Monday, December 2. Thank you for your patience.
 

A Novel-Approach To The Synthesis Of Nondispersive Wave Packet Solutions To The Klein-Gordon And Dirac Equations

Simple item page
dc.contributorVirginia Techen
dc.contributor.authorShaarawi, Amr M.en
dc.contributor.authorBesieris, Ioannis M.en
dc.contributor.authorZiolkowski, R. W.en
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:14Zen
dc.date.available2014-04-09T18:12:14Zen
dc.date.issued1990-08-01en
dc.description.abstractA systematic approach to the derivation of exact nondispersive packet solutions to equationsmodeling relativistic massive particles is introduced. It is based on a novel bidirectional representation used to synthesize localized Brittingham‐like solutions to the wave and Maxwell’sequations. The theory is applied first to the Klein–Gordon equation; the resulting nondispersive solutions can be used as de Broglie wave packets representing localized massive scalar particles. The resemblance of such solutions to previously reported nondispersive wave packets is discussed and certain subtle aspects of the latter, especially those arising in connection to the correct choice of dispersion relationships and the definition of group velocity, are clarified. The results obtained for the Klein–Gordon equation are also used to provide nondispersive solutions to the Dirac equation which models spin 1/2 massive fermions.en
dc.description.sponsorshipU.S. Dept of Energy W-7405-ENG-48en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationShaarawi, A. M.; Besieris, I. M.; Ziolkowski, R. W., "a novel-approach to the synthesis of nondispersive wave packet solutions to the Klein-Gordon and Dirac equations," J. Math. Phys. 31, 2511 (1990); http://dx.doi.org/10.1063/1.528995en
dc.identifier.doihttps://doi.org/10.1063/1.528995en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47020en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/31/10/10.1063/1.528995en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectDirac equationen
dc.subjectMaxwell equationsen
dc.subjectMatter wavesen
dc.subjectDispersion relationsen
dc.subjectExact solutionsen
dc.subjectNumerical modelingen
dc.subjectNumerical solutionsen
dc.subjectRelativistic modelsen
dc.subjectSolution processesen
dc.subjectWave equationsen
dc.titleA Novel-Approach To The Synthesis Of Nondispersive Wave Packet Solutions To The Klein-Gordon And Dirac Equationsen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
1.528995.pdf
Size:
886.17 KB
Format:
Adobe Portable Document Format
Description:
Main article
Download

Collections

Scholarly Works, Electrical and Computer Engineering