LEADER 05477nam 2200589 a 450 001 9910971829503321 005 20251116231743.0 010 $a1-60692-490-7 035 $a(CKB)1000000000541710 035 $a(EBL)3021109 035 $a(SSID)ssj0000188469 035 $a(PQKBManifestationID)12058227 035 $a(PQKBTitleCode)TC0000188469 035 $a(PQKBWorkID)10152223 035 $a(PQKB)11030166 035 $a(MiAaPQ)EBC3021109 035 $a(Au-PeEL)EBL3021109 035 $a(CaPaEBR)ebr10681309 035 $a(OCoLC)265054082 035 $a(BIP)14972693 035 $a(EXLCZ)991000000000541710 100 $a20071130d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLagrangian quantum field theory in momentum picture $efree fields /$fBozhidar Z. Iliev 205 $a1st ed. 210 $aNew York $cNova Science Publishers$dc2008 215 $a1 online resource (307 p.) 300 $aDescription based upon print version of record. 311 08$a1-60456-170-X 320 $aIncludes bibliographical references (p. [277]-281) and index. 327 $aIntro -- 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-DimensionalAnalogueoftheSchršodingerOne -- 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. 327 $a2.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. 330 $aThe 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. 606 $aQuantum field theory 606 $aLagrangian functions 606 $aMomentum (Mechanics) 615 0$aQuantum field theory. 615 0$aLagrangian functions. 615 0$aMomentum (Mechanics) 676 $a530.14/3 700 $aIliev$b Bozhidar Z$g(Bozhidar Zakhariev)$0624601 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910971829503321 996 $aLagrangian quantum field theory in momentum picture$94471908 997 $aUNINA