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    Algorithms for SU(n) boson realizations and D-functions (2015)
    American Institute of Physics (AIP)
    Details
    Publication Date: 2015-11-14
    Description: Boson realizations map operators and states of groups to transformations and states of bosonic systems. We devise a graph-theoretic algorithm to construct the boson realizations of the canonical SU( n ) basis states, which reduce the canonical subgroup chain, for arbitrary n . The boson realizations are employed to construct -functions, which are the matrix elements of arbitrary irreducible representations, of SU( n ) in the canonical basis. We demonstrate that our -function algorithm offers significant advantage over the two competing procedures, namely, factorization and exponentiation. D D
    Print ISSN: 0022-2488
    Electronic ISSN: 1089-7658
    Topics: Mathematics , Physics
    Published by American Institute of Physics (AIP)
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