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. 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 ion Lagrangian and Hamiltonian formalisms. Non-inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads the reader to observable physics. The gauge formulation of classical mechanics is extended to quantum mechanics under different reference frames. Special topics on geometric BRST mechanics, relativistic mechanics and others, together with many examples, are also dealt with.
By:
Luigi Mangiarotti (Univ Of Camerino Italy), Gennadi A Sardanashvily (Moscow State Univ, Russia) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore Dimensions:
Height: 230mm,
ISBN:9789810236038 ISBN 10: 9810236034 Pages: 368 Publication Date:01 December 1997 Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
Geometry of poisson manifolds; autonomous Hamiltonian mechanics; Lagrangian mechanics; time-dependent Hamiltoniam mechanics; relativistic mechanis; BRST mechanics; quantization of time-dependent mechanics.
Reviews for Gauge Mechanics
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. Mathematical Reviews