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确定等价电子杨盘基的等概率比对方法
引用本文:胡昆明.确定等价电子杨盘基的等概率比对方法[J].物理学报,2008,57(10):6074-6080.
作者姓名:胡昆明
作者单位:商丘师范学院物理与信息工程系,商丘 476000
摘    要:给出了等价电子正则杨盘Tλig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i所产生的根态、生成态概念.由正交归一化杨盘Tλie的纵置换算子Aλie的构造规则,给出了Aλie中存在的对称算子和确定Tλie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. 关键词: 正则杨盘 对称算子 根态 等概率比对方法

关 键 词:正则杨盘  对称算子  根态  等概率比对方法
收稿时间:2008-02-15
修稿时间:7/7/2008 12:00:00 AM

The equal probability comparison method of determining the equivalent-electron Young basis
Hu Kun-Ming.The equal probability comparison method of determining the equivalent-electron Young basis[J].Acta Physica Sinica,2008,57(10):6074-6080.
Authors:Hu Kun-Ming
Abstract:The concepts of the basic symmetric operator and complete symmetric operator of the equivalent-electron regular Young tableau Tλig are presented, and the concepts of the root state and generative state generated by these symmetric operators acting on each Slater function i are also given. Based on the establishment rules of the vertical permutation operator Aλig of the orthogonal normalization Young tableau Tλie, the symmetric operators in Aλie and the equiprobability comparison method for solving Tλie 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.
Keywords:regular Young tableau  symmetric operator  root state  equal probability comparison method
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