## Variational Principles in Dynamics and Quantum TheoryConcentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. |

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### Contents

Prolegomena | 1 |

Fermats Principle of Least Time | 11 |

The Principle of Least Action of Maupertuis | 19 |

The Development of this Principle by Euler and Lagrange | 24 |

The Equations of Lagrange and Hamilton | 33 |

Hamiltons Principle and the HamiltonJacobi Equation | 45 |

Contact Transformations and Hamiltons Canonical Equations | 65 |

Electrodynamics in Hamiltonian Form | 72 |

Resume of Variational Principles in Classical Mechanics | 92 |

Relation between Variational Principles and the Older Form of Quantum Theory | 97 |

Variational Principles and Wave Mechanics | 116 |

The Principles of Feynman and Schwinger in Quantum Mechanics | 127 |

Variational Principles in Hydrodynamics | 142 |

The Significance of Variational Principles in Natural Philosophy | 162 |

### Other editions - View all

Variational Principles in Dynamics and Quantum Theory Wolfgang Yourgrau,Stanley Mandelstam Limited preview - 2012 |