Geometric and Algebraic Topological Methods in Quantum Mechanics

By Gennadi Sardanashvily

Geometric and Algebraic Topological Methods in Quantum Mechanics

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.

Interested in this book and others like it? Try EngineeringPro™ from Books24x7®

Table of Contents

The following content is available for browsing from this book:

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

10.2: Hopf Algebras

10.3: Groupoids and Lie Algebroids

10.4: Algebraic Morita Equivalence

10.5: Measures on Non-Compact Spaces

10.6: Fibre Bundles I. Geometry and Connections

10.7: Fibre Bundles II. Higher and Infinite Order Jets

10.8: Fibre Bundles III. Lagrangian Formalism

10.9: Fibre Bundles IV. Hamiltonian Formalism

10.10: Fibre Bundles V. Characteristic Classes

10.11: K-Theory of Vector Bundles

©1999-2009 GlobalSpec. All rights reserved. GlobalSpec, the GlobalSpec logo, SpecSearch, The Engineering Search Engine and The Engineering
Web are registered trademarks of GlobalSpec, Inc. The Engineering Toolbar and DesignInfo are service marks of GlobalSpec, Inc.
No portion of this site may be copied, retransmitted, reposted, duplicated or otherwise used
without the express written permission of GlobalSpec Inc. 350 Jordan Rd, Troy, NY, 12180

		Free Registration GlobalSpec Home
Products & Services Company by Name Part Number Engineering Web More Application Notes Material Properties Patents Standards Engineering News Product Announcements Technical Library Close