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GAUGE MECHANICS
by L Mangiarotti (University of Camerino, Italy) & G Sardanashvily (Moscow State University, Russia)
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.
Contents:
- Interlude: Bundles, Jets, Connections
- Geometry of Poisson
Manifolds
- Hamiltonian Systems
- Lagrangian Time-Dependent Mechanics
- Hamiltonian Time-Dependent Mechanics
- Relativistic Mechanics
Readership: Physicists and mathematicians.
"The book is well written and contains many new results in time-dependent mechanics, showing that the differences from the autonomous case are stronger than a first glance would indicate."
| 368pp |
Pub. date: Dec 1998 |
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