Geometric Phases in Physics

Download or read book Geometric Phases in Physics written by F Wilczek and published by World Scientific. This book was released on 1989-07-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ‘Berry's phase’) in addition to the usual dynamical phase derived from Schrödinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject. Contents:Introduction and OverviewAnticipationsFoundationsSome Applications and TestsFractional StatisticsQuantized Hall EffectWess-Zumino Terms and AnomaliesClassical SystemsAsymptotics Readership: Mathematical, high energy and condensed matter physicists.