Geometrical Phases from Global Gauge Invariance of Nonlinear Classical Field Theories
- 18 January 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (3), 165-168
- https://doi.org/10.1103/physrevlett.60.165
Abstract
We show that the geometrical phases recently discovered in quantum mechanics also occur naturally in the theory of any classical complex multicomponent field satisfying nonlinear equations derived from a Lagrangean which is invariant under gauge transformations of the first kind. Some examples are the paraxial wave equation for nonlinear optics, and Ginzburg-Landau equations for complex order parameters in condensed-matter physics.Keywords
This publication has 9 references indexed in Scilit:
- Phase change during a cyclic quantum evolutionPhysical Review Letters, 1987
- Observation of Berry's Topological Phase by Use of an Optical FiberPhysical Review Letters, 1986
- Manifestations of Berry's Topological Phase for the PhotonPhysical Review Letters, 1986
- Appearance of Gauge Structure in Simple Dynamical SystemsPhysical Review Letters, 1984
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984
- Holonomy, the Quantum Adiabatic Theorem, and Berry's PhasePhysical Review Letters, 1983
- Polarization Dependence of Stimulated Rayleigh-Wing Scattering and the Optical-Frequency Kerr EffectPhysical Review B, 1969
- Intensity-Dependent Changes in the Refractive Index of LiquidsPhysical Review Letters, 1964
- Generalized theory of interference, and its applicationsProceedings of the Indian Academy of Sciences - Section A, 1956