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457 pages, 16 Mb files, html, April 2004.

Abstract:

Advanced quantum mechanics textbook. Author's Contents: "Introduction and Background Introduction: Bosons and fermions Notation and Conventions Units Maxwell's Equations in Vacuum Coordinates Metric Tensor Covariant and Contravariant Indices 3-Vector, 4-Vector, and Scalar Product Classification of 4-Vectors Gradient and Differential Operators Pauli Matrices Useful Definitions Problems Lorentz Covariance Lorentz Group Lorentz Boost Working Rules for Lorentz Covariance Relativistic Quantum Mechanics Klein-Gordon Equation Wave Equation for a Spin-0 Particle Lorentz Invariance Solutions of the Klein-Gordon Equation General Solution of the Klein-Gordon Equation Conserved Current and Charge Charge of a Klein-Gordon Particle Orthogonality and Normalization Interaction with the Electromagnetic Field Gauge Invariance Electromagnetic Coupling Charge Conjugation Klein-Gordon Equation in Schrödinger Form Zitterbewegung Klein Paradox for Spin-0 Particles Coulomb Interaction Homogeneous Green Function Completeness Summary Problems Dirac Equation Wave Equation for a Spin-1/2 Particle Current Conservation Dirac Particle at Rest Electromagnetic Interaction Nonrelativistic Limit of the Dirac Equation Constants of the Motion Free Motion of a Dirac Particle Covariant Form of the Dirac Equation Proof of Covariance Rotations Lorentz Boosts Spatial Inversion Covariance of the Continuity Equation Adjoint Spinor Bilinear Covariants Plane-Wave Solutions Spin Projection Operators for Energy and Spin Energy Projection Operators Spin Projection Operators Projection Operators of Energy and Spin Hole Theory Charge Conjugation Time Reversal Combined PCT Symmetry Free-Particle Solutions and Wave Packets Klein Paradox for Spin-1/2 Particles Problems Quantum Electrodynamics Propagator Methods Green's Functions Propagator Theory The Nonrelativistic Propagator Propagator in Relativistic Theory Propagator for the Klein-Gordon Equation Propagator for the Dirac Equation S-Matrix Electron Scattering Pair Creation Pair Annihilation Positron Scattering Problems QED Processes Lifetimes and Cross-Sections Coulomb Scattering of Electrons Trace Theorems Coulomb Scattering of Positrons Photons Polarization Vectors The Photon Propagator The Substitution Rules Lorentz-Invariant Phase Space Electron Scattering from a Dirac Proton (the effect of recoil Bremsstrahlung Photon-Electron Scattering Pair Annihilation into Gamma Rays Pair Production Electron-Electron Scattering Electron-Positron Scattering Polarization in Electron Scattering Higher-Order Calculations: Tree and Loops Feynman Rules for Tree Graphs External Particles Propagators Vertices Problems Appendices Trace Calculation Using FORM Bibliography Index "

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open access: http://www.phys.ualberta.ca/~gingrich/phys512/latex2html/phys512.html

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