Quantum groups and the recovery of U(3) symmetry in the Hamiltonian of the nuclear shell model

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Abstract
Quantum groups are of current interest because of their applications in many fields of physics. In the present paper the authors discuss a q-analogue to the Hamiltonian of the nuclear shell model. If q is written as q=exp(i tau ) where tau is a real number in the interval 02. On the other hand if tau is in the interval 0.5<or= tau <or=2, the levels of corresponding to a given number of quanta N almost collapse to a single one, thus recovering the U(3) symmetry. In the conclusion the authors compare this result with other procedures to re-establish the U(3) symmetry.

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