Publication: Noncyclic geometric phase and its non-Abelian generalization
Program
KU-Authors
KU Authors
Co-Authors
N/A
Advisor
Publication Date
1999
Language
English
Type
Journal Article
Journal Title
Journal ISSN
Volume Title
Abstract
We use the theory of dynamical invariants to yield a simple derivation of noncyclic analogues of the Abelian and non-Abelian geometric phases. This derivation relies only on the principle of gauge invariance and elucidates the existing definitions of the Abelian nancyclic geometric phase. We also discuss the adiabatic limit of the noncyclic geometric phase and compute the adiabatic non-Abelian noncyclic geometric phase for a spin-1 magnetic (or electric) quadrupole interacting with a precessing magnetic (electric) field.
Description
Source:
Journal of Physics A: Mathematical and General
Publisher:
Iop Publishing Ltd
Keywords:
Subject
Physics, Mathematical physics