确定等价电子杨盘基的等概率比对方法  

The equal probability comparison method of determining the equivalent-electron Young basis

作　　者：胡昆明[1] 

机构地区：[1]商丘师范学院物理与信息工程系,商丘476000

出　　处：《物理学报》2008年第10期6074-6080,共7页Acta Physica Sinica

摘　　要：给出了等价电子正则杨盘Tig[λ]的基本对称算子、完全对称算子概念,同时给出了这些对称算子作用于任一Slater函数φi所产生的根态、生成态概念.由正交归一化杨盘Tie[λ]的纵置换算子Aie[λ]的构造规则,给出了Aie[λ]中存在的对称算子和确定Tie[λ]的等概率比对方法,从而基本避免了牵涉到许多算子的极其复杂的代数,给出了求解N值较大的电子系统杨盘基问题的新方法.The concepts of the basic symmetric operator and complete symmetric operator of the equivalent-electron regular Young tableau Tig^[λ] are presented, and the concepts of the root state and generative state generated by these symmetric operators acting on each Slater function φi are also given. Based on the establishment rules of the vertical permutation operator Aig^[λ] of the orthogonal normalization Young tableau Tie^[λ] , the symmetric operators in Aie^[λ] and the equiprobability comparison method for solving Tie^[λ] are presented, which can avoid the complicated algebra involving many operators. Finally, a new method for sloving the Young basis of the electron system with a large N is presented.

关 键 词：正则杨盘 对称算子 根态 等概率比对方法 

分 类 号：O41[理学—理论物理]