Foreword Preface Frequently cited references Index of useful formulae A note on the problems 1 Adding special relativity to quantum mechanics 1.1 Introductory remarks 1.2 Theory of a single free, spinless particle of mass μ 1.3 Determination of the position operator X 2 The simplest many-particle theory 2.1 First steps in describing a many-particle state 2.2 Occupation number representation 2.3 Operator formalism and the harmonic oscillator 2.4 The operator formalism applied to Fock space 3 Constructing a scalar quantum field 3.1 Ensuring relativistic causality 3.2 Conditions to be satisfied by a scalar quantum field 3.3 The explicit form of the scalar quantum field 3.4 Turning the argument around: the free scalar field as the fundamental object 3.5 A hint of things to come Problems 1 Solutions 1 4 The method of the missing box 4.1 Classical particle mechanics 4.2 Quantum particle mechanics 4.3 Classical field theory 4.4 Quantum field theory 4.5 Normal ordering 5 Symmetries and conservation laws I. Spacetime symmetries 5.1 Symmetries and conservation laws in classical particle mechanics 5.2 Extension to quantum particle mechanics 5.3 Extension to field theory 5.4 Conserved currents are not uniquely defined 5.5 Calculation of currents from spacetime translations 5.6 Lorentz transformations, angular momentum and something else Problems 2 Solutions 2 6 Symmetries and conservation laws II. Internal symmetries 6.1 Continuous symmetries 6.2 Lorentz transformation properties of the charges 6.3 Discrete symmetries 7 Introduction to perturbation theory and scattering 7.1 The Schrodinger and Heisenberg pictures 7.2 The interaction picture 7.3 Dyson's formula 7.4 Scattering and the S-matrix Problems 3 Solutions 3 8 Perturbation theory I. Wick diagrams 8.1 Three model field theories
8.2 Wick's theorem 8.3 Dyson's formula expressed in Wick diagrams 8.4 Connected and disconnected Wick diagrams 8.5 The exact solution of Model 1 Problems 4 Solutions 4 …… Concordance of videos and chapters Index
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