One-body and Two-body Fractional Parentage Coefficients for Spinor Bose-Einstein Condensation |
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Authors: | Bao Cheng-guang |
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Institution: | (1) Department of Physics, SUN Yet-sen University, Guangzhou, 510275, China |
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Abstract: | 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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Keywords: | total spin states of spinor bosonic systems fractional parentage coefficients permutation group spinor Bose-Einstein condensates |
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