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Geometric and Algebraic Topological Methods in Quantum Mechanics

Geometric and Algebraic Topological Methods in Quantum Mechanics

by Giovanni Giachetta, Luigi Mangiarotti and Gennadi Sardanashvily

2005 (715 pages)

ISBN:9789812561299

Addressing a wide audience of theoreticians and mathematicians, this book aims to be a guide to advanced geometric and algebraic topological methods in quantum theory showing that geometry and topology underlie many ideas in modern quantum physics.

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Table of Contents

Geometric and Algebraic Topological Methods in Quantum Mechanics
Preface
Introduction
Chapter 1	-	Commutative Geometry
Chapter 2	-	Classical Hamiltonian Systems
Chapter 3	-	Algebraic Quantization
Chapter 4	-	Geometry of Algebraic Quantization
Chapter 5	-	Geometric Quantization
Chapter 6	-	Supergeometry
Chapter 7	-	Deformation Quantization
Chapter 8	-	Non-Commutative Geometry
Chapter 9	-	Geometry of Quantum Groups
Chapter 10	-	Appendixes
Bibliography