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One-body and Two-body Fractional Parentage Coefficients for Spinor Bose-Einstein Condensation

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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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Authors and Affiliations

  1. Department of Physics, SUN Yet-sen University, Guangzhou, 510275, China

    Bao Cheng-guang

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  1. Bao Cheng-guang
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Correspondence to Bao Cheng-guang.

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Bao, Cg. One-body and Two-body Fractional Parentage Coefficients for Spinor Bose-Einstein Condensation. Front. Phys. China 1, 92–96 (2006). https://doi.org/10.1007/s11467-005-0001-9

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  • DOI: https://doi.org/10.1007/s11467-005-0001-9

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