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

Branching Rules forU(N)⊃SP(N)⊃O(3)

Wang Jiajun¹,
Sun Hongzhou²

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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沈阳化工大学材料科学与工程学院沈阳 110142

Branching Rules forU(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 chainN(U)⊃SP(N)⊃O(3) of the irreducible representations[2^a1^b] ofU(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 chainU(N)⊃O(N)⊃0(3).