全同电子对称空间波函数的标准杨表表示  

Formulas of standard Young tableaux for symmetric spatial wavefunctions of identical electrons

作　　者：胡昆明[1] 

机构地区：[1]商丘教育学院物理系,河南商丘476000

出　　处：《商丘师专学报》2000年第2期37-43,共7页

摘　　要：对全同电子组态 (lf+ lg-)给出的nλ 个标准杨表T[λ] i ,把与T[λ] 1相联系的n电子体系的位置函数1改写为n电子体系的无微扰态函数1e,并给出自旋反向的电子间位置函数交换的等几率假设 ,由此确定了与T[λ] 1相联系的算符 q+e,从而得到了T[λ] 1的有确定置换对称性的无微扰态函数的解析式 。For n identical particles of electrons,the spatial configurations ( l f +l g - )with the given permutation symmetry are expressed in terms of n λ standard Young tableaux T [λ] i .The spatial wavefunction  1 of the n electron system related T [λ] 1 is Changed to the non perturbation function  1e .From the hypothesis of equal probability for spatial exchange between electrons with the opposite spins,the operator q +e related to T [λ] 1 is determined,the analytic forms of the non perturbation wavefunctions with the given permutation symmetry are derived,and the formulas for the symmetric spatial wavefunctions of identical electrons are obtained in terms of the Standard Young Tableaux.

关 键 词：标准杨表 电子自旋 全同电子组态 波函数 

分 类 号：O562.2[理学—原子与分子物理] O641.121[理学—物理]