The quadrupole collective model from a Cartan-Weyl perspective

Abstract

The matrix elements of the quadrupole variables and canonic conjugate momenta, emerging from collective nuclear models are calculated within a $SU(1,1)\times O(5)$ basis. Using a harmonic oscillator implementation of the SU(1,1) degree of freedom, it can be shown 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.

Special issue of journal of physics for the QTS5 conference

References in corpus (3)

• Solutions of the Bohr hamiltonian, a compendium
• Quadrupole collective variables in the natural Cartan-Weyl basis
• The quadrupole collective model from a Cartan-Weyl perspective

Cited by in corpus (1)

• The quadrupole collective model from a Cartan-Weyl perspective