The quadrupole collective model from a Cartan-Weyl perspective

Details The quadrupole collective model from a Cartan-Weyl perspective The quadrupole collective model from a Cartan-Weyl perspective

2007-10-30

arxiv.org/abs/0710.5570v2

J. Phys. A: Math. Theor. 41 (2008) 304039

Physics

Nuclear Physics

Nuclear Theory

Special issue of journal of physics for the QTS5 conference

Scientific paper

10.1088/1751-8113/41/30/304039

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.

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