The Quadrupole Collective Model from a Cartan-weyl Perspective. the Quadrupole Collective Model from a Cartan-weyl Perspective
نویسنده
چکیده
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. PACS numbers: 02.20Qs, 21.60Ev Submitted to: J. Phys. A: Math. Gen. The quadrupole collective model from a Cartan-Weyl perspective. 2
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th / 0 70 10 08 v 1 3 J an 2 00 7 Quadrupole collective variables in the natural Cartan - Weyl basis
The matrix elements of the quadrupole collective variables, emerging from collective nuclear models, are calculated in the natural Cartan-Weyl basis of O(5) which is a subgroup of a covering SU (1, 1) × O(5) structure. Making use of an intermediate set method, explicit expressions of the matrix elements are obtained in a pure algebraic way, fixing the γ-rotational structure of collective quadru...
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