含时磁场中自旋团簇两类规范解关系的研究  

Study on the relation between two types of gauge solutions of a spin clusterin a time-dependent magnetic field

作　　者：宋元军[1] 王庆武[2] 

机构地区：[1]河北北方学院理学院,张家口075000 [2]四川大学物理科学与技术学院,成都610064

出　　处：《四川大学学报（自然科学版）》2012年第3期625-629,共5页Journal of Sichuan University(Natural Science Edition)

摘　　要：本文用坐标系旋转方法研究SU(2)自旋团簇系统两类规范解析解的关系.研究对象选用一个有部分各向异性耦合的3自旋1/2粒子环链.从中发现系统的单规范解析解可以由双规范解析解获得.还计算了单规范解析解的几何相位,结果显示:单规范的每个基本解析解中的几何相位均为π.如果令双规范中的参数λ=π/2,那么这个相位值与对应的双规范基本解析解中的几何相位是一致的.The coordinate rotation method is applied to investigate the relation between two types of gauge analytical solutions for a su（2） algebraically symmetric spin cluster. We consider an annular 3-spin 1/2 chain with partially anisotropic coupling. It is found that the analytical solutions related to singlegauge transformation can be obtained from those related to doublegauge transformation. The geometric phase of the every basic analytical solution from singlegauge transformation is calculated, and the geometric phase π is found. If λ=π/2 in doublegauge transformation,the value of geometric phase obtained here is the same as that of every basic analytical solution from doublegauge transformation.

关 键 词：3粒子自旋团簇 规范解析解 坐标系旋转 几何相位 

分 类 号：O413.1[理学—理论物理]