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Titlebook: Symmetries in Science VII; Spectrum-Generating Bruno Gruber,Takaharu Otsuka Book 1993 Springer Science+Business Media New York 1993 algebr

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Dynamical Symmetry Breaking and the Onset of Chaos in the Interacting Boson Model of Nuclei,tic transition intensities of heavy nuclei. In its simplest version, the IBM-1, the nuclear Hamiltonian is described with few parameters and possesses three physical limits where it is exactly solvable. Even the general IBM-1 Hamiltonian is relatively easy to solve due to the moderate size of its ba
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Generating the Spectrum of Nonlinear Hamiltonians,s of their Hamiltonians. Specifically, for the purpose of this discussion we mean by ‘nonlinearity’ that even in a reasonable but zeroth order approximation the energy eigenvalues are nonlinear functions of the quantum numbers. As is by now well recognized. this is at the heart of the quantum manife
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Low Lying Electric Dipole Excitations and the Interacting Boson Model,]. Now it became relatively easy to reproduce the experimental observables in a wide variety of nuclei ranging from spherical to well deformed [3]. Further improvement was achieved when proton- and neutron-bosons were distinguished explicitly in the 1BA-2 [4]. In the early eighties Iachello used the
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Effective Charges, the Valence p-n Interaction, and the IBM,amework of the IBM. These three concepts are the importance of dynamical symmetries in describing nuclear structure and the benefits that accrue from their exploitation, secondly, the critical role of the p-n interaction in the onset and development of collectivity in nuclei, and, thirdly, the impor
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Number and Isospin Dependence of the IBM3 Hamiltonian,el(IBM) by associating the .-boson with a . 0 pair of like nucleons in a single .-shell and the .-boson with a . 2 pair. The .-boson space was then mapped onto a subspace . in the .-nucleon shell-model, with . = 2. and with the number of .-bosons related to the shell-model seniority by 2.. = .. The
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