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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBONY, Jean Francois
hal.structure.identifierInstitut Élie Cartan de Nancy [IECN]
dc.contributor.authorFAUPIN, Jérémy
hal.structure.identifierDepartment of Mathematics [University of Toronto]
dc.contributor.authorSIGAL, I. M.
dc.date.accessioned2024-04-04T02:17:33Z
dc.date.available2024-04-04T02:17:33Z
dc.date.issued2012
dc.identifier.issn0001-8708
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189238
dc.description.abstractEnWe consider the problem of propagation of photons in the quantum theory of non-relativistic matter coupled to electromagnetic radiation, which is, presently, the only consistent quantum theory of matter and radiation. Assuming that the matter system is in a localized state (i.e. for energies below the ionization threshold), we show that the probability to find photons at time tt at the distance greater than View the MathML sourcect, where View the MathML sourcec is the speed of light, vanishes as t→∞t→∞ as an inverse power of tt.
dc.language.isoen
dc.publisherElsevier
dc.subject.enPropagation estimates
dc.subject.enSchrödinger equation
dc.subject.enNon-relativistic QED
dc.subject.enScattering theory
dc.subject.enWave operators
dc.subject.enQuantized electromagnetic field
dc.title.enMaximal velocity of photons in non-relativistic QED
dc.typeArticle de revue
dc.identifier.doi10.1016/j.aim.2012.07.019
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalAdvances in Mathematics
bordeaux.page3054-3078
bordeaux.volume231
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00994363
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00994363v1
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