View in EDS

The quantum electrodynamics of relativistic bound states with cutoffs. I

Saved in:
Bibliographic Details
Title: The quantum electrodynamics of relativistic bound states with cutoffs. I
Authors: Dimassi, M.1, Guillot, J.-C.
Source: Applied Mathematics Letters. May2003, Vol. 16 Issue 4, p551. 5p.
Subjects: Hamiltonian systems, Coupling constants, Ultraviolet radiation, Infrared radiation
Abstract: In this note, we consider a Hamiltonian with ultraviolet and infrared cutoffs describing the interaction of relativistic electrons and positrons in a Coulomb potential with transversal photons in Coulomb gauge. We prove that the Hamiltonian is self-adjoint in the Fock space and has a ground state for a sufficiently small coupling constant. [Copyright &y& Elsevier]
Copyright of Applied Mathematics Letters is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 11111575
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: The quantum electrodynamics of relativistic bound states with cutoffs. I
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Dimassi%2C+M%2E%22">Dimassi, M.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Guillot%2C+J%2E-C%2E%22">Guillot, J.-C.</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+Letters%22">Applied Mathematics Letters</searchLink>. May2003, Vol. 16 Issue 4, p551. 5p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Hamiltonian+systems%22">Hamiltonian systems</searchLink><br /><searchLink fieldCode="DE" term="%22Coupling+constants%22">Coupling constants</searchLink><br /><searchLink fieldCode="DE" term="%22Ultraviolet+radiation%22">Ultraviolet radiation</searchLink><br /><searchLink fieldCode="DE" term="%22Infrared+radiation%22">Infrared radiation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this note, we consider a Hamiltonian with ultraviolet and infrared cutoffs describing the interaction of relativistic electrons and positrons in a Coulomb potential with transversal photons in Coulomb gauge. We prove that the Hamiltonian is self-adjoint in the Fock space and has a ground state for a sufficiently small coupling constant. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied Mathematics Letters is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=11111575
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/S0893-9659(03)00035-1
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 5
        StartPage: 551
    Subjects:
      – SubjectFull: Hamiltonian systems
        Type: general
      – SubjectFull: Coupling constants
        Type: general
      – SubjectFull: Ultraviolet radiation
        Type: general
      – SubjectFull: Infrared radiation
        Type: general
    Titles:
      – TitleFull: The quantum electrodynamics of relativistic bound states with cutoffs. I
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Dimassi, M.
      – PersonEntity:
          Name:
            NameFull: Guillot, J.-C.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 05
              Text: May2003
              Type: published
              Y: 2003
          Identifiers:
            – Type: issn-print
              Value: 08939659
          Numbering:
            – Type: volume
              Value: 16
            – Type: issue
              Value: 4
          Titles:
            – TitleFull: Applied Mathematics Letters
              Type: main
ResultId 1