Geometric phases in physics
by Shapere, Alfred Wilczek, Frank
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 …
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- Full title :Geometric phases in physics / [edited by] Alfred Shapere, Frank Wilczek.
Summary
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.
Read More ↓Edition Statements
- Publication Date:1989
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Singapore
- Language:eng
- Publication Date:1989
The Physical Object
- Description:1 online resource (xiv, 509 pages) : : illustrations
Edition Identifiers
- ISBN:9789812798381, 9812798382
- oclc:ocn826660215
- LC Classification:QC20.7.G44
- Dewey Decimal:530.1/5
Table of Contents
A Reader's Guide; Preface; Contents; Chapter 1 Inroduction and Overview; 1.1 The Quantum Phase Five Years After; 1.2 Three Elaborations on Berry's Connection Curvature and Phase; Chapter 2 Anticipations; 2.1 Generalized Theory of Interference and its Applications; 2.2 The Adiabatic Phase and Pancharatnam's Phase for Polarized Light; 2.3 Intersection of Potential Energy Surfaces in Polyatomic Molecules; 2.4 Spin-Orbit Coupling and the Intersection of Potential Energy Surfaces in Polyatomic Molecules.
2.5 On the Determination of Born-Oppenheimer Nuclear Motion Wave Functions Including Complications due to Conical Intersections and Identical Nuclei2.6 Significance of Electromagnetic Potentials in the Quantum Theory; Chapter 3 Foundations; 3.1 Quantal Phase Factors Accompanying Adiabatic Changes; 3.2 Holonomy the Quantum Adiabatic Theorem and Berry's Phase; 3.3 Appearance of Gauge Structure in Simple Dynamical Systems; 3.4 Phase Change during a Cyclic Quantum Evolution; 3.5 General Setting for Berry's Phase; 3.6 Effective Action for Adiabatic Process; 3.7 Adiabatic Effective Lagrangians.
Chapter 4 Some Applications And Tests4.1 Observation of Berry's Topological Phase by Use of an O…
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