## From Special Relativity to Feynman Diagrams: A Course of Theoretical Particle Physics for BeginnersThis books aims at filling a gap between the basics courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. Particular emphasis is given to the role of symmetry in modern theoretical physics. For this reason this book is particularly suited to those students who are interested in a deeper knowledge of modern developments in elementary particle physics and relativity, even if they choose not to specialize in this branch of research. This target of readers includes, besides experimental and applied physicists, also those engineers who need advanced notions of theoretical high energy physics, in view of future research activity in the field theory approach to condensed matter, in accelerator physics and in all those modern technology sectors which require a more advanced and sophisticated theoretical physics background. Courses motivated by these objectives are present in several polytechnic institutes around the world. The last chapters of this book, in particular, are of particular importance to those engineers who plan to work in high energy physics research centres, like LHC at CERN, or to collaborate to experiments on the revelation of gravitational waves. As far as engineering is concerned, it is important to stress that elementary Special and General Relativity courses are often absent in their curricula. |

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### Contents

1 | |

2 Relativistic Dynamics | 37 |

3 The Equivalence Principle | 63 |

4 The Poincaré Group | 91 |

5 Maxwell Equations and Special Relativity | 137 |

6 Quantization of the Electromagnetic Field | 164 |

7 Group Representations and Lie Algebras | 181 |

8 Lagrangian and Hamiltonian Formalism | 207 |

12 Fields in Interaction | 433 |

Appendix AThe Eotvös Experiment | 536 |

Appendix BThe Newtonian Limit of the Geodesic Equation | 539 |

Appendix C The Twin Paradox | 541 |

Appendix D Jacobi Identity for Poisson Brackets | 545 |

Appendix E Induced Representations and Little Groups | 547 |

Appendix F SU2 and SO3 | 553 |

Appendix G Gamma Matrix Identities | 556 |

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From Special Relativity to Feynman Diagrams: A Course of Theoretical ... Riccardo D'Auria,Mario Trigiante No preview available - 2011 |