Overview

In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.

Full Product Details

Author:   Luigi Mangiarotti (Univ Of Camerino, Italy) ,  Gennadi A Sardanashvily (Moscow State Univ, Russia) ,  Giovanni Giachetta (Univ Of Camerino, Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.70cm , Height: 4.00cm , Length: 23.70cm
Weight:   1.148kg
ISBN:  

9789812561299

ISBN 10:   9812561293
Pages:   720
Publication Date:   28 January 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Reviews

This book is well-written and I am convinced that it will be useful to all those interested in quantum theory. Zentralblatt MATH With respect to a propsective reader having a reasonably good background in mathematics, the notions, concepts, etc, are introduced in a self-contained but condensed manner ... The book gives a very helpful supply of mathematical tools needed by a theoretical or mathematical physicist to effect entry into some of the new directions in theoretical physics. Also, a mathematician might appreciate the condensed presentation of definitions and results in one of the modern fields of mathematics for which one may be seeking an overview. Mathematical Reviews

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