Partial dynamical symmetry in quantum Hamiltonians with higher-order terms

Details Partial dynamical symmetry in quantum Hamiltonians with higher-order terms Partial dynamical symmetry in quantum Hamiltonians with higher-order terms

2008-12-22

arxiv.org/abs/0812.4109v1

Phys.Rev.Lett.102:112502,2009

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevLett.102.112502

A generic procedure is proposed to construct many-body quantum Hamiltonians with partial dynamical symmetry. It is based on a tensor decomposition of the Hamiltonian and allows the construction of a hierarchy of interactions that have selected classes of solvable states. The method is illustrated in the SO(6) limit of the interacting boson model of atomic nuclei and applied to the nucleus $^{196}$Pt.

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