Berry联络与吴－杨单极势  

Berry's Connection and Wu-Yang's Monopole Potential

作　　者：沈月林[1] 倪光炯[1] 

机构地区：[1]复旦大学物理系,天津南开大学数学所

出　　处：《高能物理与核物理》1995年第6期500-507,共8页High Energy Physics and Nuclear Physics

摘　　要：通过研究一半整数自旋值的中性粒子在球对称磁场中的Ｂｏｒｎ－Ｏｐｐｅｎｈｅｉｍｅｒ方程，发现在自旋空间Ｂｅｒｒｙ联络呈非阿贝尔形式．在绝热近似下，Ｂｅｒｒｙ联络相当于阿贝尔形式的吴－杨单极场．由于拓扑的非平庸性，利用纤维丛中截面的概念研究了位形空间的动力学，发现中心势场中粒子的角动量和能量均取量子化值，但数值发生移动，这是纯几何起源的现象．By studying the Born-Oppenheimer equation for a neutral spin-1/2 particle moving in a spherically symmetrical magnetic field,the non-Abelian Berry's connection in the internal space is found.In the adiabatic approximation,it displays the role of Wu-Yang's monopole.The dynamics for the configurational space is studied by using the concept of section in fibre bundle.Though the angular momentum and energy are quantized,their values are moved.The origination of this phenomenon is geometrical.

关 键 词：Berry联络 吴-杨单极势 纤维丛截面 

分 类 号：O413.1[理学—理论物理]