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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

Hu Kun-Ming
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  • Abstract views:  3076
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  • Received Date:  15 February 2008
  • Accepted Date:  07 July 2008
  • Published Online:  20 October 2008

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

  • 1. 商丘师范学院物理与信息工程系,商丘 476000

Abstract: The concepts of the basic symmetric operator and complete symmetric operator of the equivalent-electron regular Young tableau T[λ]ig 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 A[λ]ig of the orthogonal normalization Young tableau T[λ]ie, the symmetric operators in A[λ]ie and the equiprobability comparison method for solving T[λ]ie 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.

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