05477nam 2200589 a 450 991097182950332120251116231743.01-60692-490-7(CKB)1000000000541710(EBL)3021109(SSID)ssj0000188469(PQKBManifestationID)12058227(PQKBTitleCode)TC0000188469(PQKBWorkID)10152223(PQKB)11030166(MiAaPQ)EBC3021109(Au-PeEL)EBL3021109(CaPaEBR)ebr10681309(OCoLC)265054082(BIP)14972693(EXLCZ)99100000000054171020071130d2008 uy 0engur|n|---|||||txtccrLagrangian quantum field theory in momentum picture free fields /Bozhidar Z. Iliev1st ed.New York Nova Science Publishersc20081 online resource (307 p.)Description based upon print version of record.1-60456-170-X Includes bibliographical references (p. [277]-281) and index.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.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.Quantum field theoryLagrangian functionsMomentum (Mechanics)Quantum field theory.Lagrangian functions.Momentum (Mechanics)530.14/3Iliev Bozhidar Z(Bozhidar Zakhariev)624601MiAaPQMiAaPQMiAaPQBOOK9910971829503321Lagrangian quantum field theory in momentum picture4471908UNINA