The Use of Quantum Groups in Nuclear Structure Problems

Details The Use of Quantum Groups in Nuclear Structure Problems The Use of Quantum Groups in Nuclear Structure Problems

1995-10-21

arxiv.org/abs/q-alg/9510022v1

Mathematics

Quantum Algebra

LaTeX, 15 pages Invited lecture at the Predeal International Summer School on Collective Motion and Nuclear Dynamics (Predeal,

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 underly 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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