Quantum Electrodynamics
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1 Quantum Electrodynamics von Walter Greiner, Joachim Reinhardt Neuausgabe Quantum Electrodynamics Greiner / Reinhardt schnell und portofrei erhältlich bei beck-shop.de DIE FACHBUCHHANDLUNG Thematische Gliederung: Theoretische Physik, Mathematische Physik Springer 2002 Verlag C.H. Beck im Internet: ISBN
2 Contents 1. Propagators and Scattering Theory Introduction TheNonrelativisticPropagator Green sfunctionandpropagator An Integral Equation for ψ ApplicationtoScatteringProblems The Unitarity of the S Matrix Symmetry Properties of the S Matrix The Green s Function in Momentum Representation anditsproperties Another Look at the Green s Function forinteractingparticles BiographicalNotes The Propagators for Electrons and Positrons Quantum-Electrodynamical Processes CoulombScatteringofElectrons Scattering of an Electron off a Free Proton: TheEffectofRecoil ScatteringofIdenticalFermions Electron Positron Scattering: BhabhaScatteringandMuonPairCreation ScatteringofPolarizedDiracParticles Bremsstrahlung ComptonScattering TheKlein NishinaFormula AnnihilationofParticleandAntiparticle BiographicalNotes Summary: The Feynman Rules of QED TheFeynmanRulesofQEDinMomentumSpace ThePhotonPropagatorinDifferentGauges BiographicalNotes The Scattering Matrix in Higher Orders Electron Positron Scattering in Fourth Order VacuumPolarization Self-EnergyoftheElectron...309
3 XIV Contents 5.4 TheVertexCorrection BiographicalNotes Two-Particle Systems TheBethe SalpeterEquation BiographicalNotes Quantum Electrodynamics of Strong Fields StrongFieldsinAtoms Strong Fields in Heavy Ion Collisions TheEffectiveLagrangianoftheElectromagneticField BiographicalNotes Quantum Electrodynamics of Spinless Bosons TheKlein GordonEquation TheFeynmanPropagatorforScalarParticles TheScatteringofSpin-0Bosons The Feynman Rules of Scalar Electrodynamics Appendix Index...469
4 Contents of Examples and Exercises 1.1 Properties of G Relation Between G + and G TheFreeGreen sfunctionanditsproperties AnIntegralRepresentationfortheStepFunction Green sfunctionfordiffusion Kirchhoff s Integral as an Example of Huygens Principle in Electrodynamics Plane-Wave Decomposition of the Feynman Propagator FeynmanPropagatorforaFermiGas NonrelativisticLimitoftheFeynmanPropagator Time-EvolutionofDiracWaveFunctions The Explicit Form of S F (x) incoordinatespace CalculationofaUsefulIntegral LorentzTransformationofPlaneWaves Traces and Identities Involving γ Matrices CoulombScatteringofPositrons Rosenbluth sformula Higher-Order Electron Proton Scattering StaticLimitoftheTwo-PhotonExchange Mandelstam Variables Applied to Møller and Bhabha Scattering DegreeofPolarization StaticLimitofBremsstrahlung The Bethe Heitler Formula for Bremsstrahlung RelationsofEnergyandMomentum TheTotalCrossSectionofPairAnnihilation Electron Positron Annihilation in the Centre-of-Mass Frame PairCreationbyTwoPhotons PairCreationintheFieldofanAtomicNucleus TheMethodofEquivalentPhotons Angular Integration of the Hadron Tensor Electron Positron Pair Production in Intense Laser Fields Exact Solution of the Dirac Equation in the Field of a Travelling Wave Furry stheorem Supplement: Systems of Units in Electrodynamics...267
5 XVI Contents of Examples and Exercises 5.1 EvaluationofanIntegral ThePhotonPolarizationFunction The Running Coupling Constant TheUehlingPotential Muonic Atoms GaussianIntegrals TheFormFactoroftheElectron The Infrared Catastrophe TheEnergyShiftofAtomicLevels Solution of the Initial-Value Problem for Fermions TheBethe SalpeterEquationforPositronium TheNonretardedLimitoftheBethe SalpeterEquation TheBreitInteraction Nonrelativistic Reduction of the Two-Body Equation AppliedtoPositronium TheWaveFunctionattheDivingPoint Fano sformalismforthedescriptionofresonances The Product of Two Principal-Value Poles Time-Dependent Decay of the Vacuum TheSupercriticalPointCharge AnAlternativeDerivationoftheEffectiveLagrangian The Solution of the Dirac Equation inahomogeneousmagneticfield BirefringenceoftheVacuuminaStrongMagneticField ComptonScatteringatBosons The Electro-Production of Pion Pairs
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