4.2.1 Derivation of the Quantum Boltzmann Approximation -- 4.2.2 Boltzmann vs. Kadanoff-Baym dynamics -- 4.3 Derivation of Off-Shell Relativistic Transport Theory -- 4.3.1 Kadanoff-Baym Transport -- 4.3.2 Transport in the Botermans-Malfliet Scheme -- 4.3.3 Testparticle Representation -- 4.3.4 Model Studies -- 4.4 Kadanoff-Baym Dynamics for Fermions -- 4.4.1 Two-Point Functions on the CTP -- 4.4.2 Definition of Selfenergies -- 4.4.3 Spectral Functions -- 4.5 Spectral Evolution of Vector Mesons in Heavy-Ion Collisions at 2 A GeV -- 4.6 Electromagnetic Field Evolution in Ultra-Relativistic Collisions -- 4.6.1 Electromagnetic Fields in Au+Au Collisions at s= 200 GeV -- 4.6.2 Electromagnetic Fields in Cu+Au Collisions at s= 200 GeV -- Solution of Exercises -- References -- A The Time Evolution Operator -- A.1 Schrödinger Picture -- A.2 Heisenberg Picture -- A.3 Interaction or Dirac Picture -- B Trace Relations for n-Body Correlations -- C The Two-Body Problem in Vacuum -- D Periodic Boundary Conditions -- E Phase-Space Integrals -- F Kramers-Kronig Relation -- G Lorentz Transformations, γ-Matrices, and Dirac-Algebra -- G.1 Lorentz-Goup: Scalars, Vectors, Tensors -- G.2 Dirac Equation and Dirac-Clifford Algebra -- G.3 Solutions of the Free Dirac Equation -- G.4 Quantization of the Free Dirac Field -- G.5 Transformation Properties of Dirac Spinors -- G.6 Green's Function of the Free Dirac Field -- H Density-Dependent Relativistic Mean-Field Theory -- H.1 Equations of Motion -- H.2 Thermodynamics and Thermodynamic Consistency -- Index. |