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  • 81R50  (2)
  • Springer  (2)
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  • Springer  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Integration over the group space of SUq(2), Clebsch-Gordan coefficients, and related identities (1995)
    Springer
    Letters in mathematical physics 33 (1995), S. 221-229 
    Details
    ISSN: 1573-0530
    Keywords: 81R50 ; 17B37
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We calculate the Clebsch-Gordan coefficients of SUq(2) by a Woronowicz integration over the group manifold and obtain a representation differing from that reached by working with theq-group algebra. These apparently different results must agree, however, and their equivalence implies aq-identity. On lettingq = 1, we shall obtain two results of different structures for the Clebsch-Gordan coefficients of SU(2) and their equivalence similarly implies an identity among the usual binomial coefficients. With the same approach, one may extend the Woronowicz integral of the product of two irreducible representations to products of many irreducible representations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00749623
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  • 2
    Electronic Resource
    Electronic Resource
    q-transformation theory (1995)
    Springer
    Letters in mathematical physics 35 (1995), S. 221-227 
    Details
    ISSN: 1573-0530
    Keywords: 81R50 ; 81S05 ; 81P99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We obtain the complete set of states of theq-oscillator in both configuration space and momentum space as well as the transformation between these spaces. The states as well as the matrix elements lie in the SU q (2) algebra. To obtain transition probabilities, one must take the ‘Woronowicz square.’
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761294
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