标量算符本征值对g壳层LSQ耦合态的完全分类计算

CALCULATIONS OF COMPLETE CLASSIFICATION FOR g-SHELL LSQ COUPLED STATES BY EIGENVALUES OF SCALAR OPARATOR

按 (U ,D)L LSQ格式构造l壳层LSQ耦合态 ,这里U(D)是自旋向上 (向下 )电子的轨道角动量 ,L、S、Q是总轨道角动量、总自旋和准旋。由 4个产生—湮灭算符构造与轨道、自旋、准旋算符均对易的标量算符并用其本征值对LSQ耦合态进一步分类 ,实现了对f、g壳层耦合态的完全分类 ,列出了 g壳层耦合态完全分类的主要结果。

The LSQ coupled states of l \|shell are constructed by (U,D)L\|LSQ scheme, where U(D) is the total orbital angular momentum of spin up(down) electrons, the L,S and Q are the total orbital angular momentum, spin and quasispin respectively, the (U,D) L\|LSQ is unitary transformation. The scalar operators which commute with the total orbital angular momentum, spin and quasispin operators, are constructed from 4 creation\|annihilation operators, and the LSQ coupled states are further or complete classified by its eigenvalues. The complete classifications of coupled states for f\| and g\|shell are obtained, the primary results of complete classifications of coupled states for g\|shell are listed. [