The Role of Topology in Classical and Quantum Physics

In solid-state physics especially topological techniques
have turned out to be extremely useful for modelling and
explaining physical properties of matter. This book
illustrates various applications of algebraic topology in
classical field theory (non-linear sigma-models) and in
quantizationsin multiply connected spaces (anyons). It
treats Chern-Simon Lagrangians, Berry's phase, the
polarization of light and the fractional quantum Hall
effect.

List of contents

An Elementary Introduction to Algebraic Topology..- Topological Methods in Classical Field Theory..- Inequivalent Quantizations in Multiply Connected Spaces. Braid Groups and Anyons..- Topics in Chern-Simons Physics..- A Short Introduction to: Connections on (1) Bundles and Berry's Phase..- Electrons in A Magnetic Field, and A Cursory Look at the Quantum Hall Effect..

Product details

• Authors: Giuseppe Morandi
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9783662139172
• ISBN: 978-3-662-13917-2
• No. of pages: 242
• Dimensions: 141 mm x 237 mm x 19 mm
• Illustrations: XIII, 242 p.
• Series: Lecture Notes in Physics Monographs; Lecture Notes in Physics Monographs
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics