Quantum Algebraic Symmetries in Nuclear Structure

Details Quantum Algebraic Symmetries in Nuclear Structure Quantum Algebraic Symmetries in Nuclear Structure

1995-10-21

arxiv.org/abs/nucl-th/9510043v1

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 18 pages; Invited lecture at the XIIth International School on Nuclear Physics, Neutron Physics and Nuclear Energy (Var

Scientific paper

Various applications of quantum algebraic techniques in nuclear structure physics, such as the su$_q$(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of deformed exactly soluble models (Interacting Boson Model, Moszkowski model) are briefly reviewed. Emphasis is put in the study of the symmetries of the anisotropic quantum harmonic oscillator with rational ratios of frequencies, which underlie the structure of superdeformed and hyperdeformed nuclei, the Bloch--Brink $\alpha$-cluster model and possibly the shell structure in deformed atomic clusters.

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