An Introduction to Advanced Quantum PhysicsISBN: 9780470686751
224 pages
May 2010

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.
PART 1 Relativistic Quantum Physics.
1 Electromagnetic Radiation and Matter.
1.1 Hamiltonian and Vector Potential.
1.2 Second Quantization.
1.3 TimeDependent Perturbation Theory.
1.4 Spontaneous Emission.
1.5 Blackbody Radiation.
1.6 Selection Rules.
2 Scattering.
2.1 Scattering Amplitude and Cross Section.
2.2 Born Approximation.
2.3 PhotoElectric Effect.
2.4 Photon Scattering.
3 Symmetries and Conservation Laws.
3.1 Symmetries and Conservation Laws.
3.2 Continuous Symmetry Operators.
3.3 Discrete Symmetry Operators.
3.4 Degeneracy.
4 Relativistic Quantum Physics.
4.1 KleinGordon Equation.
4.2 Dirac Equation.
4.3 Solutions of the Dirac Equation, AntiParticles.
4.4 Spin, NonRelativistic Limit and Magnetic Moment.
4.5 The Hydrogen Atom ReRevisited.
5 Special Topics.
5.1 Introduction.
5.2 Measurements in Quantum Physics.
5.3 EinsteinPodolskyRosen Paradox.
5.4 Schrödinger’s Cat.
5.5 The Watched Pot.
5.6 Hidden Variables and Bell’s Theorem.
PART 2 Introduction to Quantum Field Theory.
6 Second Quantization of Spin 1/2 and Spin 1 Fields.
6.1 Second Quantization of Spin 1/2 Fields.
6.2 Second Quantization of Spin 1 Fields.
7 Covariant Perturbation Theory and Applications.
7.1 Covariant Perturbation Theory.
7.2 W and Z Boson Decays.
7.3 Feynman Graphs.
7.4 Second Order Processes and Propagators.
8 Quantum Electrodynamics.
8.1 ElectronPositron Annihilation.
8.2 ElectronMuon Scattering.
Index.
 The book limits itself to those topics that are absolutely necessary for understanding elementary particle physics and condensed matter.
 Intended for undergraduates who take a third and fourth quarter of quantum physics and to train undergraduates in more advanced techniques that will be necessary for applications of quantum mechanics
 Important concepts from classical mechanics, electricity and magnetism, statistical physics, and quantum physics are pulled together to discuss the interaction of radiation and matter, selection rules, symmetries and conservation laws, scattering, relativistic quantum mechanics, and more.
 The strength is the presentation of all the topics of the book with a common convention for notation
 Includes problems within the text and solutions on the author’s website.