On the theory of collective motion in nuclei. II. Quantum theory |
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Authors: | Peter Kramer |
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Institution: | Institut für Theoretische Physik der Universität Tübingen, D 7400 Tübingen, German Federal Republic |
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Abstract: | The collective Hamiltonian is assumed to be invariant under the orthogonal group O(A ? 1, ). It is shown that the quantum collective dynamics can be formulated on a coset space of the symplectic group (6, ) of dimension 12, 16 or 18. The first case corresponds to the collective dynamics based on closed shells and leads to a Hilbert space of analytic functions in six complex collective quasiparticle variables. Dequantization of this scheme yields the classical dynamics described in I. In the limit A ? 1 one obtains a system of s- and d-bosons with symmetry group (6) in the collective state space. |
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