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  • 1
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A mathematical generalization of the concept of quantum spin is constructed in which the role of the symmetry groupO 3 is replaced byO v (ν=2,3,4, ...). The notion of spin direction is replaced by a point on the manifold of oriented planes in ℝ v . The theory of coherent states is developed, and it is shown that the natural generalizations of Lieb's formulae connecting quantum spins and classical configuration space hold true. This leads to the Lieb inequalities [1] and with it to the limit theorems as the quantum spinl approaches infinity. The critical step in the proofs is the validity of the appropriate generalization of the Wigner-Eckart theorem.
    Type of Medium: Electronic Resource
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