Noncyclic geometric phase and its non-Abelian generalization

Preprint

30 September 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9909093

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 noncyclic 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.

Keywords

ABELIAN NONCYCLIC GEOMETRIC
NONCYCLIC GEOMETRIC PHASE
ABELIAN GENERALIZATION
DYNAMICAL INVARIANTS
ABELIAN NONCYCLIC

All Related Versions

Version 1, 1999-09-30, ArXiv
Published version: Journal of Physics A: General Physics, 32 (46), 8157.

This publication has 0 references indexed in Scilit: