Gauge Mechanics (Hardcover) (ISBN-13: 9789810236038)

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.

Author: Luigi Mangiarotti,Gennadi A. Sardanashvily
ISBN-10: 9810236034
ISBN-13: 9789810236038
Publisher: World Scientific Publishing Company
Language: English
Published: 12/09/1998
Pages: 368
Format: Hardcover