An Introduction to Advanced Quantum Physics presents important concepts from classical mechanics, electricity and magnetism, statistical physics, and quantum physics brought together to discuss the interaction of radiation and matter, selection rules, symmetries and conservation laws, scattering, relativistic quantum mechanics, apparent paradoxes, elementary quantum field theory, electromagnetic and weak interactions, and much more. This book consists of two parts: Part 1 comprises the material suitable for a second course in quantum physics and covers: Electromagnetic Radiation and Matter Scattering Symmetries and Conservation Laws Relativistic Quantum Physics Special Topics Part 2 presents elementary quantum field theory and discusses: Second Quantization of Spin 1/2 and Spin 1 Fields Covariant Perturbation Theory and Applications Quantum Electrodynamics Each chapter concludes with problems to challenge the students understanding of the material. This text is intended for graduate and ambitious undergraduate students in physics, material sciences, and related disciplines.

An Introduction to Advanced Quantum Physics presentsimportant concepts from classical mechanics, electricity andmagnetism, statistical physics, and quantum physics broughttogether to discuss the interaction of radiation and matterselection rules, symmetries and conservation laws, scatteringrelativistic quantum mechanics, apparent paradoxes, elementaryquantum field theory, electromagnetic and weak interactions, andmuch more.This book consists of two parts:Part 1 comprises the material suitable for a second course inquantum physics and covers:* Electromagnetic Radiation and Matter* Scattering* Symmetries and Conservation Laws* Relativistic Quantum Physics* Special TopicsPart 2 presents elementary quantum field theory anddiscusses:* Second Quantization of Spin 1/2 and Spin 1 Fields* Covariant Perturbation Theory and Applications* Quantum ElectrodynamicsEach chapter concludes with problems to challenge thestudents' understanding of the material.This text is intended for graduate and ambitious undergraduatestudents in physics, material sciences, and relateddisciplines.

Preface ixPART 1 Relativistic Quantum Physics 11 Electromagnetic Radiation and Matter 31.1 Hamiltonian and Vector Potential 31.2 Second Quantization 101.2.1 Commutation Relations 101.2.2 Energy 121.2.3 Momentum 171.2.4 Polarization and Spin 191.2.5 Hamiltonian 231.3 Time-Dependent Perturbation Theory 241.4 Spontaneous Emission 281.4.1 First Order Result 281.4.2 Dipole Transition 301.4.3 Higher Multipole Transition 321.5 Blackbody Radiation 361.6 Selection Rules 39Problems 442 Scattering 492.1 Scattering Amplitude and Cross Section 492.2 Born Approximation 522.2.1 Schrödinger Equation 522.2.2 Green's Function Formalism 522.2.3 Solution of the Schrödinger Equation 552.2.4 Born Approximation 582.2.5 Electron-Atom Scattering 592.3 Photo-Electric Effect 632.4 Photon Scattering 672.4.1 Amplitudes 672.4.2 Cross Section 722.4.3 Rayleigh Scattering 732.4.4 Thomson Scattering 75Problems 783 Symmetries and Conservation Laws 813.1 Symmetries and Conservation Laws 813.1.1 Symmetries 813.1.2 Conservation Laws 823.2 Continuous Symmetry Operators 843.2.1 Translations 843.2.2 Rotations 863.3 Discrete Symmetry Operators 873.4 Degeneracy 893.4.1 Example 893.4.2 Isospin 90Problems 914 Relativistic Quantum Physics 934.1 Klein-Gordon Equation 934.2 Dirac Equation 954.2.1 Derivation of the Dirac Equation 954.2.2 Probability Density and Current 1014.3 Solutions of the Dirac Equation, Anti-Particles 1044.3.1 Solutions of the Dirac Equation 1044.3.2 Anti-Particles 1084.4 Spin, Non-Relativistic Limit and Magnetic Moment 1114.4.1 Orbital Angular Momentum 1114.4.2 Spin and Total Angular Momentum 1124.4.3 Helicity 1144.4.4 Non-Relativistic Limit 1164.5 The Hydrogen Atom Re-Revisited 120Problems 1245 Special Topics 1275.1 Introduction 1275.2 Measurements in Quantum Physics 1275.3 Einstein-Podolsky-Rosen Paradox 1295.4 Schrödinger's Cat 1335.5 The Watched Pot 1355.6 Hidden Variables and Bell's Theorem 137Problems 140PART 2 Introduction to Quantum Field Theory 1436 Second Quantization of Spin 1/2 and Spin 1 Fields 1456.1 Second Quantization of Spin 1/2 Fields 1456.1.1 Plane Wave Solutions 1456.1.2 Normalization of Spinors 1466.1.3 Energy 1486.1.4 Momentum 1516.1.5 Creation and Annihilation Operators 1516.2 Second Quantization of Spin 1 Fields 155Problems 1597 Covariant Perturbation Theory and Applications 1617.1 Covariant Perturbation Theory 1617.1.1 Hamiltonian Density 1617.1.2 Interaction Representation 1657.1.3 Covariant Perturbation Theory 1687.2 W and Z Boson Decays 1717.2.1 Amplitude 1717.2.2 Decay Rate 1737.2.3 Summation over Spin 1747.2.4 Integration over Phase Space 1797.2.5 Interpretation 1817.3 Feynman Graphs 1837.4 Second Order Processes and Propagators 1857.4.1 Annihilation and Scattering 1857.4.2 Time-Ordered Product 187Problems 1938 Quantum Electrodynamics 1958.1 Electron-Positron Annihilation 1958.2 Electron-Muon Scattering 201Problems 204Index 207