Gauge Mechanics
Seiten
1998
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3603-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3603-8 (ISBN)
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This text 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. Topics on geometric BRST mechanics, relativistic mechanics and others, with examples, are also dealt with.
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.
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.
Geometry of poisson manifolds; autonomous Hamiltonian mechanics; Lagrangian mechanics; time-dependent Hamiltoniam mechanics; relativistic mechanis; BRST mechanics; quantization of time-dependent mechanics.
| Erscheint lt. Verlag | 9.12.1998 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| ISBN-10 | 981-02-3603-4 / 9810236034 |
| ISBN-13 | 978-981-02-3603-8 / 9789810236038 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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