Branching Rules for U(N)⊃SP(N)⊃O(3)

Wang Jiajun; Sun Hongzhou

Chinese Physics C> 1993, Vol. 17> Issue(S4) : 395-402

Branching Rules for U(N)⊃SP(N)⊃O(3)

Wang Jiajun ¹ ,
Sun Hongzhou ²

1 Department of Physics, Peking University, Beijing, China;
2 Department of Physics, Tsinghua University, Beijing, China

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Abstract：
Branching rules for group chain N(U)⊃SP(N)⊃O(3) of the irreducible representations[2^a1^b] of U(N) are discussed by formulas of group direct product decomposition. Simple recurrence formulas of these branching rules are obtained. It provides a simple method to find the branching rules for this type of problem. They are very efficient to simplify the calculations of Fractional Parentage Coefficients. This method can also be used in finding branching rules for group chain U(N)⊃O(N)⊃0(3).

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Wang Jiajun and Sun Hongzhou. Branching Rules for U(N)⊃SP(N)⊃O(3)[J]. Chinese Physics C, 1993, 17(S4): 395-402.

Wang Jiajun and Sun Hongzhou. Branching Rules for U(N)⊃SP(N)⊃O(3)[J]. Chinese Physics C, 1993, 17(S4): 395-402. shu

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Received: 1992-08-27

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Branching Rules for U(N)⊃SP(N)⊃O(3)

Wang Jiajun ^1,
Sun Hongzhou ^2,

1 Department of Physics, Peking University, Beijing, China;
2 Department of Physics, Tsinghua University, Beijing, China

Received Date: 1992-08-27

Abstract: Branching rules for group chain N(U)⊃SP(N)⊃O(3) of the irreducible representations[2^a1^b] of U(N) are discussed by formulas of group direct product decomposition. Simple recurrence formulas of these branching rules are obtained. It provides a simple method to find the branching rules for this type of problem. They are very efficient to simplify the calculations of Fractional Parentage Coefficients. This method can also be used in finding branching rules for group chain U(N)⊃O(N)⊃0(3).