Practical Quantum Electrodynamics

Practical Quantum Electrodynamics

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Description

Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.show more

Product details

  • Hardback | 360 pages
  • 157.5 x 231.1 x 25.4mm | 612.36g
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 70 black & white illustrations, 1 black & white tables
  • 1584885424
  • 9781584885429

Table of contents

Part I: INTRODUCTION AND BACKGROUND Introduction Problems Notation and Conventions Units Maxwell's Equations in Vacuum Coordinates Metric Tensor Covariant and Contravariant Indices Three-Vector, Four-Vector, and Scalar Product Classification of Four-Vectors Gradient and Differential Operators Pauli Matrices Groups Useful Definitions Problems Lorentz Covariance Lorentz Group Lorentz Boost Lorentz Covariance and Conservation Laws Problems Part II: RELATIVISTIC QUANTUM MECHANICS Klein-Gordon Equation Wave Equation for a Spin-0 Particle Lorentz Covariance of the Klein-Gordon Equation Plane-Wave Solutions of the Klein-Gordon Equation General Solution of the Klein-Gordon Equation Conserved Charge and Current Normalization and Orthogonality Interaction with the Electromagnetic Field Hamiltonian Form of the Klein-Gordon Equation Free-Particle Solutions and Wave Packets Klein Paradox for Spin-0 Particles Coulomb Interaction 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 Covariance of the Continuity Equation Adjoint Spinor Bilinear Covariants Plane-Wave Solutions Projection Operators for Energy and Spin Hole Theory Charge Conjugation Time Reversal Combined CPT Symmetry Free-Particle Solutions and Wave Packets Klein Paradox for Spin-1/2 Particles Summary Problems Part III: QUANTUM ELECTRODYNAMICS Propagator Methods Nonrelativistic Scattering Theory Green Functions and Integral Equations The Born Approximation Propagator Theory The Nonrelativistic Propagator Propagator in Relativistic Theory Propagator for the Klein-Gordon Equation Propagator for the Dirac Equation S-Matrix Problems Photons Maxwell's Equations Gauge Transformations Polarization Vectors Photon Propagator Problems Quantum Electrodynamic Processes Lifetimes and Cross Sections Coulomb Scattering of Electrons Trace Theorems Coulomb Scattering of Positrons Crossing Symmetry and Substitution Rules Electron Scattering from a Dirac Proton Bremsstrahlung Photon-Electron Scattering Electron-Positron Annihilation into Two Photons Electron-Positron Pair Production Electron-Electron Scattering Electron-Positron Scattering Beyond Tree Diagrams Problems Part IV: APPENDICES A: Lorentz-Invariant Flux Factor B: Lorentz-Invariant Phase Space C: Feynman Rules for Tree Diagrams D: Trace Calculation Using FORM References Indexshow more