Geometric and Algebraic Topological Methods in Quantum Mechanics (Hardcover) (ISBN-13: 9789812561299)

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.

Author: Luigi Mangiarotti,Gennadi A. Sardanashvily,Giovanni Giachetta
ISBN-10: 9812561293
ISBN-13: 9789812561299
Publisher: World Scientific Publishing Company
Language: English
Published: 01/28/2005
Pages: 720
Format: Hardcover
Weight: 2.53lbs
Size: 9.34h x 6.58w x 1.57d