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  • 1
    Electronic Resource
    Electronic Resource
    Some curious effects of pair annihilations in the bag-model treatment of the $$Q^2 \bar Q^2 $$ system (1982)
    Springer
    The European physical journal 16 (1982), S. 171-179 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract With the inclusion of a single gluon magnetic exchange term, the M.I.T. static spherical cavity spectrum of $$q^2 \bar q^2 $$ bag eigenstates contains a pair of nearly degenerateJ P=0+ states in both theI=0 and 1 channels; possibly associated with theS *(980) and δ(980). The effect of pair annihilation-induced mixing on these states is investigated and is shown to result in radical changes. For small mixing the bag energy curves have two minima. As the mixing strength is increased, one of these minima disappears and is replaced by a new higher lying state.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01572268
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Circular matrices, duality theorems and the reality of Clebsch-Gordan coefficients (1985)
    Springer
    Letters in mathematical physics 10 (1985), S. 1-6 
    Details
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Schur's lemma and the properties of circular matrices are used to establish a necessary and sufficient condition for the finite-dimensional irreducible matrix representations of an arbitrary groupG to admit real coupling (or Clebsch-Gordan) coefficients. The Pontryagin-Van Kampen and Tannaka-Krein duality theorems are found to be of considerable value in implementing the condition, which requires that complex conjugation effects an automorphism on the group of all matrices having the same reduction of their tensor products as the matrix representations ofG. This result is noted to be relevant to a generalization of the Frobenius-Schur invariant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00704579
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A necessary and sufficient condition for the existence of real coupling coefficients for a finite group (1985)
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 27 (1985), S. 381-391 
    Details
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We establish a theorem which gives a necessary and sufficient condition for a set of matrix irreps of a finite group to admit real coupling (Clebsch-Gordan) coefficients. The proof is based on the method used by Feit to prove that a full set of coupling coefficients for a finite group determines the group up to isomorphism. A consequence of the theorem is that a finite group with real coupling coefficients is necessarily quasiambivalent. The theorem is used to demonstrate that real coupling coefficients do not exist for the point-group hierarchies T ⊃ D2 and I ⊃ T or for the double-group hierarchies I* ⊃ D3*, I* ⊃ D5*, and O* ⊃ D3*.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/qua.560270403
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    Paper (German National Licenses)
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