Preface Acknowledgements Author biographies 1 Non-relativistic quantum mechanics 1.1 One dimensional, time dependent Schr6dinger equation 1.2 Time independent Schr6dinger equation 1.3 Interpretation 1.4 Proof that probability is conserved 1.5 Momentum space wave functions 1.6 Heisenberg uncertainty principle 1.7 Square well example 1.8 Completeness 1.9 Orthogonality 1.10 The 3D Schr6dinger equation 1.11 Wave function collapse and all that Appendix A. Time independent perturbation theory A.1 Example: perturbed square well Appendix B. Orbital and spin angular momentum 2 Path integral approach to quantum mechanics 2.1 Proposal for the quantum mechanical amplitude 2.2 The classical limit 2.3 Wave functions 2.4 Deriving the Schr6dinger equation 2.5 Path integral for a free particle 2.6 Interpreting the free particle kernel 2.7 Barrier problems 2.8 The kernel in terms of wave functions Appendix C. Gaussian integrals Appendix D. Scattering theory D.1 Traditional time dependent perturbation theory D.2 Initial response to a perturbation D.3 Example: perturbed square well II D.4 Fermi's golden rule 3 Relativistic quantum mechanics 3.1 Relativity review 3.2 The Klein—Gordon equation 3.2.1 Problems in the Klein Gordon equation 3.2.2 Feynman—Stiickelberg interpretation 3.3 Dirac equation 3.3.1 Continuity equation 3.3.2 Solutions to the Dirac equation 3.3.3 Spin 3.3.4 Lorentz covariant notation 3.3.5 Massless(ultra—relativistic、fermions 4 Quantum electrodynamics 4.1 Photon wave equation 4.2 Minimal substitution 4.3 Gauge invariance 4.4 QED interactions in perturbation theory 4.4.1 Summary of Feynman rules of QED
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