An Introduction to Advanced Quantum Physics

PART 1 Relativistic Quantum Physics.

1 Electromagnetic Radiation and Matter.

1.1 Hamiltonian and Vector Potential.

1.2 Second Quantization.

1.3 Time-Dependent 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 Photo-Electric 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 Klein-Gordon Equation.

4.2 Dirac Equation.

4.3 Solutions of the Dirac Equation, Anti-Particles.

4.4 Spin, Non-Relativistic Limit and Magnetic Moment.

4.5 The Hydrogen Atom Re-Revisited.

5 Special Topics.

5.1 Introduction.

5.2 Measurements in Quantum Physics.

5.3 Einstein-Podolsky-Rosen 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 Electron-Positron Annihilation.

8.2 Electron-Muon Scattering.

Index.