Knot-like Mermin-Ho vortices in the superfluid 3He-A

被引：1
|
作者：
Zhang, PM [1 ]
Duan, YS
Liu, X
Zhong, CK
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
[2] Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China
来源：
ANNALS OF PHYSICS | 2004年 / 313卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Mermin-Ho vortex; knot; Hopf invariant;
D O I：
10.1016/j.aop.2004.04.006
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the topological properties of knots in superfluid He-3-A. The decomposition of SO(3) connection and its Abelian projection is presented. The topological structure of Mermin-Ho vortices is obtained with the Abelian projection from the viewpoint of phi-mapping theory. Furthermore, it is shown that the linking number of the knot-like Mermin-Ho vortices can be described with the Hopf invariant. At last, the evolution of the knots is discussed. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：16 / 25
页数：10
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