Lagrangian quantum field theory in momentum picture : free fields / / Bozhidar Z. Iliev

• Record Nr.: UNINA9910971829503321
• Autore: Iliev Bozhidar Z (Bozhidar Zakhariev)
• Pubbl/distr/stampa: New York, : Nova Science Publishers, c2008
• ISBN: 1-60692-490-7
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (307 p.)
• Disciplina: 530.14/3
• Soggetti: Quantum field theory; Lagrangian functions; Momentum (Mechanics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. [277]-281) and index.
• Nota di contenuto: Intro -- LAGRANGIANQUANTUMFIELDTHEORYINMOMENTUMPICTURE.FREEFIELDS -- LAGRANGIANQUANTUMFIELDTHEORYINMOMENTUMPICTURE.FREEFIELDS -- Contents -- ListofConventions -- Preface -- Acknowledgments -- ChapterILagrangianFormalismandtheMomentumPicture -- 1.Introduction -- 2.LagrangianFormalism -- 3.DerivativesRelativetoOperatorsandLagrangianFormalism -- 4.HeisenbergRelations -- 5.TheMomentumPictureofMotion -- 6.GeneralAspectsofLagrangianFormalisminMomentumPicture -- 7.OntheMomentumRepresentationandParticleInterpretation -- 8.TheMomentumPictureas4-DimensionalAnalogueoftheSchr¨odingerOne -- 9.Conclusion -- ChapterIIFreeScalarFields -- 1.Introduction -- II.A.NeutralScalarFields -- 2.DescriptionofFreeNeutralScalarFieldinMomentumPicture -- 3.AnalysisoftheKlein-GordonEquation -- 4.FrequencyDecompositionsandTheirPhysicalMeaning -- 5.TheKlein-GordonEquationsinTermsofCreationandAnnihilationOperators -- 6.CommutationRelations -- 7.VacuumandNormalOrdering -- 8.StateVectorsandTransitionsbetweenThem -- II.B.ArbitraryScalarFields -- 9.DescriptionofFreeScalarField -- 10.AnalysisoftheFieldEquations -- 11.FrequencyDecompositionsandTheirPhysicalMeaning -- 12.TheFieldEquationsinTermsofCreationandAnnihilationOperators -- 13.; TheChargeandOrbitalAngularMomentumOperators -- 14.CommutationRelations -- 15.VacuumandNormalOrdering -- 16.StateVectors -- 17.Conclusion -- ChapterIIIFreeSpinorFields -- 1.Introduction -- 2.DescriptionofFreeSpinorFieldinMomentumPicture -- 3.AnalysisoftheDiracEquation(s) -- 4.FrequencyDecompositions -- 5.TheDynamicalVariablesinTermsofCreationandAnnihilationOperators -- 6.TheFieldEquationsinTermsofCreationandAnnihilationOperators -- 7.AnticommutationRelations -- 8.VacuumandNormalOrdering -- 9.StateVectors -- 10.OntheChoiceofLagrangianandItsConsequences -- 11.Conclusion -- ChapterIVFreeVectorFields -- 1.Introduction.; 2.DescriptionofFreeVectorFieldinMomentumPicture -- 3.AnalysisoftheFieldEquations -- 4.FrequencyDecompositionsandCreationandAnnihilationOperators -- 5.TheDynamicalVariablesinTermsofCreationandAnnihilationOperators -- 6.TheFieldEquationsinTermsofCreationandAnnihilationOperators -- 7.CommutationRelations -- 8.VacuumandNormalOrdering -- 9.StateVectorsandParticleInterpretation -- 10.TheMasslessCaseandElectromagneticFieldinLorenzGauge -- 10.1.ProblemsintheMasslessCase -- 10.2.ElectromagneticField -- 11.OntheChoiceofLagrangian -- 12.OntheRoleoftheLorenzConditionintheMasslessCase -- 12.1.DescriptionofFreeMasslessVectorFieldswithouttheLorenzCondition -- 12.2.AnalysisoftheEuler-LagrangeEquations -- 12.3.DynamicalVariables -- 12.4.TheFieldEquations -- 12.5.Discussion -- 13.Conclusion -- ChapterVCommutationRelationsforFreeFields -- 1.Introduction -- 2.Lagrangians,Euler-LagrangeEquationsandDynamicalVariables -- 3.OntheUniquenessoftheDynamicalVariables -- 4.HeisenbergRelations -- 5.TypesofPossibleCommutationRelations -- 5.1.RestrictionsRelatedtotheMomentumOperator -- 5.2.RestrictionsRelatedtotheChargeOperator -- 5.3.RestrictionsRelatedtotheAngularMomentumOperator(s) -- 6.Inferences -- 7.StateVectors,VacuumandMeanValues -- 8.CommutationRelationsforSeveralCoexistingDifferentFreeFields -- 8.1.CommutationRelationsConnectedwiththeMomentumOperator.ProblemsandTheirPossibleSolutions -- 8.2.CommutationRelationsConnectedwiththeChargeandAngularMmomentumOperators -- 8.3.CommutationRelationsbetweentheDynamicalVariables -- 8.4.CommutationRelationsundertheUniquenessConditions -- 9.Conclusion -- References -- Index.
• Sommario/riassunto: The monograph is devoted to in-depth analysis of the Langrangian approach in momentum picture of motion to quantum free scalar, spinor and vector fields. The main purpose is to suggest a new approach and analysis of known of problems which results in reestablishment of known facts and new results.