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Gauge Mechanics G. Sardanashvily

Gauge Mechanics

G. Sardanashvily

Published May 10th 2014
ISBN : 9781299621015
ebook
366 pages
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 About the Book 

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 fieldMoreThis 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.Contents: Interlude: Bundles, Jets, ConnectionsGeometry of Poisson ManifoldsHamiltonian SystemsLagrangian Time-Dependent MechanicsHamiltonian Time-Dependent MechanicsRelativistic MechanicsReadership: Physicists and mathematicians.