GEOMETRIC PHASE IN THE CLASSICAL CONTINUOUS ANTIFERROMAGNETIC HEISENBERG SPIN CHAIN

被引：123

作者：

BALAKRISHNAN, R

BISHOP, AR

DANDOLOFF, R

机构：

[1] UNIV CALIF LOS ALAMOS SCI LAB,DIV THEORET,LOS ALAMOS,NM 87545

[2] UNIV CALIF LOS ALAMOS SCI LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 64卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.64.2107

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the time evolution of a space curve is associated with a geometric phase. This phase arises from the path dependence of the rotation of the natural Frenet-Serret triad with respect to a nonrotating (Fermi-Walker) frame. We derive a general expression in 1+1 dimension for the phase and the associated gauge potential, and discuss the application of this formalism to the classical, continuous, antiferromagnetic Heisenberg spin chain. © 1990 The American Physical Society.

引用

页码：2107 / 2110

页数：4

共 20 条

[1] PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].