The quadrupole collective model from a Cartan–Weyl perspective

2007/10/31 by Stijn De Baerdemacker, K. Heyde, Kris Heyde +2
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1088/1751-8113/41/30/304039

published as J. Phys. A: Math. Theor. 41 (2008) 304039 · Special issue of journal of physics for the QTS5 conference

openalex publication_date 2008/07/15 · arxiv created 2008/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The matrix elements of the quadrupole variables and canonic conjugate momenta emerging from collective nuclear models are calculated within an SU (1, 1) × O (5) basis. Using a harmonic oscillator implementation of the SU (1, 1) degree of freedom, one can show that the matrix elements of the quadrupole phonon creation and annihilation operators can be calculated in a pure algebraic way, making use of an intermediate state method.

Citations

• An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
• Effects ofβ−γcoupling in transitional nuclei and the validity of the approximate separation of variables
• Elementary Theory of Angular Momentum
• The γ-dependent part of the wave functions representing γ-unstable surface vibrations