Contents Preface PART 1 Relativistic Quantum Physics 1 Electromagnetic Radiation and Matter 1.1 Hamiltonian and Vector Potential 1.2 Second Quantization 10 1.2.1 Commutation Relations 1.2) Energy 1.2. Momentum 127 1.2.4 Polarization and Spin 1.2.5 Hamiltonian 3 1.3 Time-Dependent Perturbation Theory 1.4 28 14.1 irst Order R 1.4. Dipole Tra 1.4.3 Higher Multipole Transition 1.5 Blackbody Radiation 36 1.6 Selection Rules Problems 2 Scattering 2.1 Scattering Amplitude and Cross Section 99 2.2 Born Approximation 2.2.1 Schrodinger Equation 2.2.2 Green's Function Formalism 52 2.2.3 Solution of the Schrodinger Equation 55Contents Preface ix PART 1 Relativistic Quantum Physics 1 1 Electromagnetic Radiation and Matter 3 1.1 Hamiltonian and Vector Potential 3 1.2 Second Quantization 10 1.2.1 Commutation Relations 10 1.2.2 Energy 12 1.2.3 Momentum 17 1.2.4 Polarization and Spin 19 1.2.5 Hamiltonian 23 1.3 Time-Dependent Perturbation Theory 24 1.4 Spontaneous Emission 28 1.4.1 First Order Result 28 1.4.2 Dipole Transition 30 1.4.3 Higher Multipole Transition 32 1.5 Blackbody Radiation 36 1.6 Selection Rules 39 Problems 44 2 Scattering 49 2.1 Scattering Amplitude and Cross Section 49 2.2 Born Approximation 52 2.2.1 Schrodinger Equation ¨ 52 2.2.2 Green’s Function Formalism 52 2.2.3 Solution of the Schrodinger Equation ¨ 55