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Gauge mechanics /

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 conc...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mangiarotti, L.
Otros Autores: Sardanashvili, G. A. (Gennadiĭ Aleksandrovich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, NJ : World Scientific, ©1998.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Gauge mechanics /  |c L. Mangiarotti, G. Sardanashvily. 
260 |a Singapore ;  |a River Edge, NJ :  |b World Scientific,  |c ©1998. 
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504 |a Includes bibliographical references (pages 332-346) and index. 
520 |a 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. 
588 0 |a Print version record. 
505 0 |a 1. Interlude: bundles, jets, connections -- 2. Geometry of Poisson manifolds -- 3. Hamiltonian systems -- 4. Lagrangian time-dependent mechanics -- 5. Hamiltonian time-dependent mechanics -- 6. Relativistic mechanics. 
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