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篇目详细内容 |
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【篇名】 |
One-body and Two-body Fractional Parentage Coefficients for Spinor Bose–Einstein Condensation |
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【刊名】 |
Frontiers of Physics in China |
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【刊名缩写】 |
Front. Phys. China |
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【ISSN】 |
1673-3487 |
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【EISSN】 |
1673-3606 |
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【DOI】 |
10.1007/s11467-005-0001-9 |
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【出版社】 |
Higher Education Press and Springer-Verlag |
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【出版年】 |
2006 |
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【卷期】 |
1
卷1期 |
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【页码】 |
92-96
页,共
5
页 |
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【作者】 |
BAO Cheng-guang;
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【关键词】 |
total spin states of spinor bosonic systems; fractional parentage coefficients; permutation group; spinor Bose–Einstein condensates |
【摘要】 |
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A very effective tool, namely, the analytical expression of the fractional parentage coefficients (FPC), is introduced in this paper to deal with the total spin states of N-body spinor bosonic systems, where N is supposed to be large and the spin of each boson is one. In particular, the analytical forms of the one-body and two-body FPC for the total spin states with {N} and {N?1,1} permutation symmetries have been derived. These coefficients facilitate greatly the calculation of related matrix elements, and they can be used even in the case of N→∞. They appear as a powerful tool for the establishment of an improved theory of spinor Bose–Einstein condensation, where the eigenstates have the total spin S and its Z-component being both conserved. |
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