Geometric Formulation Of Classical And Quantum Mechanics

Author:   Giovanni Giachetta (Univ Of Camerino, Italy) ,  Luigi Mangiarotti (Univ Of Camerino, Italy) ,  Gennadi A Sardanashvily (Moscow State Univ, Russia)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814313728


Pages:   404
Publication Date:   12 October 2010
Format:   Hardback
Availability:   Awaiting stock   Availability explained
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Geometric Formulation Of Classical And Quantum Mechanics


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Overview

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-autonomous dynamic systems, Lagrangian and Hamiltonian non-relativistic mechanics, relativistic mechanics, quantum non-autonomous mechanics, together with a number of advanced models - superintegrable systems, non-autonomous constrained systems, theory of Jacobi fields, mechanical systems with time-dependent parameters, non-adiabatic Berry phase theory, instantwise quantization, and quantization relative to different reference frames.

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Author:   Giovanni Giachetta (Univ Of Camerino, Italy) ,  Luigi Mangiarotti (Univ Of Camerino, Italy) ,  Gennadi A Sardanashvily (Moscow State Univ, Russia)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 22.90cm
Weight:   0.717kg
ISBN:  

9789814313728


ISBN 10:   9814313726
Pages:   404
Publication Date:   12 October 2010
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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