## Relativistic quantum mechanicsIn this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per-form a series of calculations designed to illustrate varioususeful techniques and concepts in electromagnetic, weak, andstrong interactions. these include defining and implementingthe renormalization program and evaluating effects of radia-tive corrections, such as the Lamb shift, in low-ordercalculations. The necessary background for the book is pro-vided by a course in nonrelativistic quantum mechanics atthe general level of Schiff's text, QUANTUM MECHANICS. |

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### Contents

Lorentz Co variance of the Dirac Equation | 16 |

The FoldyWouthuysen Transformation | 45 |

Hole Theory | 64 |

Copyright | |

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### Common terms and phrases

antiparticle approximation atom Bjorken boson bremsstrahlung calculation Chap charge components compute conjugate conservation construct contribution coordinate corresponding Coulomb scattering coupling constant covariant cross section decay diagrams Dirac equation Dirac theory discussion Drell eigenvalues electrodynamics electromagnetic energy external factor fermion Feynman graphs field theory final four-momentum four-vector free-particle given hamiltonian hermitian hole theory identical incident initial integral interpretation invariant isotopic spin Klein-Gordon equation Lamb shift leptons Lorentz covariance Lorentz transformation lowest order magnetic mass matrix element meson momenta momentum space negative negative-energy electron negative-energy solutions negative-frequency neutrinos neutron nucleon observed pair production parity particle Pauli photon Phys physical plane-wave positive-energy positron potential projection operators quantum field Quantum Mechanics radiative corrections Relativistic Quantum renormalization right-handed rules S-matrix scattering amplitude second-order shown in Fig spinor symmetry tion transition two-component vacuum polarization vector Verify vertex wave function