电子书百科大全
Gauge Mechanics
Author(s): L. Mangiarotti (Author), G. Sardanashvily (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: February 15, 1999
- Edition: First Edition
- Language: English
- Print length: 355 pages
- ISBN-10: 9810236034
- ISBN-13: 9789810236038
Book Description
This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection. Non-relativistic mechanics is seen as a particular field theory over a one-dimensional base. In fact, the concept of connection is the major link throughout the book. In the gauge scheme of mechanics, connections appear as reference frames, dynamic equations, and in Lagrangian and Hamiltonian formalisms. Inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads us to observable physics. Special topics on relativistic mechanics, geometric BRST mechanics frame-dependent quantization and others, together with many examples, are also dealt with.
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