Geometric And Algebraic Topological Methods In Quantum Mechanics - Hardcover

Mangiarotti, Luigi; Sardanashvily, Gennadi A; Giachetta, Giovanni

Hardcover

ISBN 10: 9812561293 ISBN 13: 9789812561299

Publisher: World Scientific Publishing Co Pte Ltd, 2005

Synopsis

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.

About this title

Review

the notions, concepts, etc, are introduced in a self-contained but condensed manner -- Mathematical Reviews "Mathematical Reviews"

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 2005
• Language: English
• ISBN 10: 9812561293
• ISBN 13: 9789812561299
• Binding: Hardcover
• Number of pages: 720