Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures
dc.contributor.author | Gill, Tepper L. | en_US |
dc.contributor.author | Zachary, W. W. | en_US |
dc.date.accessioned | 2010-05-06T21:53:56Z | |
dc.date.available | 2010-05-06T21:53:56Z | |
dc.date.issued | 2002-01 | en_US |
dc.identifier.citation | Gill, Tepper L.; Zachary, W. W. (2002). "Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures." Journal of Mathematical Physics 43(1): 69-93. <http://hdl.handle.net/2027.42/70270> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/70270 | |
dc.description.abstract | In this paper, we provide a representation theory for the Feynman operator calculus. This allows us to solve the general initial-value problem and construct the Dyson series. We show that the series is asymptotic, thus proving Dyson’s second conjecture for quantum electrodynamics. In addition, we show that the expansion may be considered exact to any finite order by producing the remainder term. This implies that every nonperturbative solution has a perturbative expansion. Using a physical analysis of information from experiment versus that implied by our models, we reformulate our theory as a sum over paths. This allows us to relate our theory to Feynman’s path integral, and to prove Dyson’s first conjecture that the divergences are in part due to a violation of Heisenberg’s uncertainly relations. © 2002 American Institute of Physics. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 208528 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Physics, University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.contributor.affiliationother | Department of Mathematics and Electrical Engineering, Howard University, Washington, DC 20059 | en_US |
dc.contributor.affiliationother | Department of Electrical Engineering, Howard University, Washington, DC 20059 | en_US |
dc.contributor.affiliationother | Department of Mathematics and Statistics, University of Maryland University College, College Park, Maryland 20742 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70270/2/JMAPAQ-43-1-69-1.pdf | |
dc.identifier.doi | 10.1063/1.1425080 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
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dc.owningcollname | Physics, Department of |
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