准旋-角动量标量算符本征值与费密子j-j耦合态的完全分类  

THE EIGENVALUE OF QUASI-SPIN-ANGULAR MOMENTUM SCALAR OPERATOR AND THE COMPLETE CLASSIFICATION OF j-j COUPLED STATES FOR FERMIONS

作　　者：陈健华[1] 程香爱 

机构地区：[1]国防科技大学应用物理系,长沙410073

出　　处：《物理学报》1995年第10期1529-1533,共5页Acta Physica Sinica

摘　　要：用二次量子化和不可约张量方法,对j壳层引入对准旋-角动量为(1/2,j)阶不可约张量的产生-湮没算符b_(qm)^(1/27),由此耦合成准旋-角动量标量算符Y(x,k)=(bb)^(x,k)·(bb)^(x,k),并用其本征值对费密子j-j耦合态进行分类.计算表明:对j=9/2,11/2,13/2,当x十k≥3,Y(x,k)与准旋、角动量共同本征态能对耦合态完全分类.对多数(x,k)值,y(x,k)本身就能对耦合态完全分类.列出了对j=9/2耦合态完全分类的主要结果.By using the formalism of second quantization and irreducible tensor, a creation-annihilation operator b1/2qm is introduced which is a irreducible tensor of rank (1/2, j) for quasi-spin-angular momentum. Furthermore, quasi-spin-angular momentum scalar operator Y(x,k)=(bb)x,k·(bb)x,k is consumed, and j-j coupled states for fermions are classified by its eigenvalues. It can be shown from calculation: for j = 9/2,11/2,13/2, and x+k≥ 3, the coupled states are completely classified by the co-eigenstates of Y(x,k)、quasi-spin and angular-momentum. For most of (x, k), Y(x, k)≥itself can completely classify the coupled states. The main results for j= 9/2 are shown in this paper, and the results for j·11/2 will be reported in another.

关 键 词：准旋 角动量 费密子 j-j耦合态 本征值 

分 类 号：O413.1[理学—理论物理]