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 (7)

• Solutions of the Bohr hamiltonian, a compendium
• A computationally tractable version of the collective model
• Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables
• An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
• Quadrupole collective variables in the natural Cartan-Weyl basis
• Vector coherent state theory of the generic representations of so(5) in an so(3) basis
• The quadrupole collective model from a Cartan-Weyl perspective

Cited by in corpus (5)

• Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality
• Racah's method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases
• The quadrupole collective model from a Cartan-Weyl perspective
• Spectral properties of a tractable collective Hamiltonian
• Exact Canonically Conjugate Momenta to Quadrupole-Type Collective Coordinates and Derivation of Nuclear Quadrupole-Type Collective Hamiltonian