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The Fractional Parentage Coefficients for a Double-j Fermion System |
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| Authors: | Hong-zhou SUN Qi-zhi HAN Mei ZHANG Gui-lu LONG |
| Affiliation: | 1. Department of Physics, Tsinghua University and Institute of Theoretical Physics, Academia Sinica, Beijing;2. Department of Physics, Peking University, Beijing 100871, China;3. Department of Physics, Teinghua University, Beijing 100084, China |
| Abstract: | The coefficients of fractional parentage (CFPs) for a double-j fermion system are defined. The CFPs are given when the wave functions are classified according to the group chains U(N) ⊃ U(N1) × U(N2) ⊃ SP(N1)× SP(N2) ⊃O(31)×O(32) ⊃ O(3) and U(N) ⊃ SP(N) ⊃ SP(N1)× SP(N2) ⊃ O(31)× O(32) ⊃ O(3). Using these CFPs many repeating calculations can be avoided. |
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