The Role of Topology in Classical and Quantum Physics

ISBN-13: 9783662139172 / Angielski / Miękka / 2014 / 242 str.

Giuseppe Morandi

Opis

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.

Spis treści

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..