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# Geometric and Algebraic Topological Methods in Quantum Mechanics

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ISBN: 9789812561299 Publisher: World Scientific Publishing Co Pte Ltd
Year of publishing: 2005 Format: Hardback
No of Pages: 720

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,...Read more

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.

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**Review**:

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...Read more

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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