## Electromagnetic InteractionsThis book is devoted to theoretical methods used in the extreme circumstances of very strong electromagnetic fields. The development of high power lasers, ultrafast processes, manipulation of electromagnetic fields and the use of very fast charged particles interacting with other charges requires an adequate theoretical description. Because of the very strong electromagnetic field, traditional theoretical approaches, which have primarily a perturbative character, have to be replaced by descriptions going beyond them. In the book an extension of the semi-classical radiation theory and classical dynamics for particles is performed to analyze single charged atoms and dipoles submitted to electromagnetic pulses. Special attention is given to the important problem of field reaction and controlling dynamics of charges by an electromagnetic field. |

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### Contents

1 | |

2 Relativistic Wave Equations | 33 |

3 Electrodynamics | 67 |

4 Charge in Electromagnetic Wave | 101 |

5 Confinement of Charge | 133 |

6 Atom in Electromagnetic Field | 216 |

7 Radiation by Charge | 239 |

Appendix A Units | 287 |

Appendix B Nonrelativistic Green Functions | 291 |

Appendix C Useful Relationships | 301 |

Appendix D System of N Particles | 307 |

329 | |

331 | |

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### Common terms and phrases

adiabatic approximation analysis analyzed angles angular momentum assumed average axes bound calculated centre of mass charge density classical dynamics coefficients confinement coordinate space decay defined delta function dependence derived determined dipole Dirac equation eigenfunctions electromagnetic field electromagnetic wave electron energy component example expansion field reaction force free particle frequency given Green function Hydrogen atom initial conditions initial phase space integral interaction kinetic energy Lorentz matrix means molecule momentum space motion negative nonrelativistic nuclei obtained oscillations parameter perturbation phase space density plane wave polarization position probability amplitude probability density problem proton quantum dynamics radiation relativistic dynamics replaced resonance result rotation scalar potential set of equations shown simplest ſº solution solved standing wave stationary term trajectory transformation variable vector potential velocity wave number whilst width zero