Quantum Algebraic Symmetries in Nuclear Structure

1995/10/21 by Dennis Bonatsos, Bonatsos, Dennis, C. Daskaloyannis +5
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #math.QA #nucl-th #q-alg

paper · pdf · doi:10.48550/arxiv.nucl-th/9510043

LaTeX, 18 pages; Invited lecture at the XIIth International School on Nuclear Physics, Neutron Physics and Nuclear Energy (Varna, Bulgaria, 27 September - 3 October 1995)

arxiv created 1995/10/21 · arxiv updated 2009/11/30

Abstract

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 α-cluster model and possibly the shell structure in deformed atomic clusters.

Related

• The Use of Quantum Groups in Nuclear Structure Problems
• Quantum Algebraic Symmetries in Nuclei and Molecules
• Quantum Algebras in Nuclear Structure
• Quantum Algebraic Symmetries in Nuclei, Molecules and Atomic Clusters
• Quantum algebraic symmetries in atomic clusters, molecules and nuclei