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Partial Dynamical Symmetry in Quantum Hamiltonians with Higher-Order Terms

2008/12/22 by J. E. García-Ramos, J. E. Garcia-Ramos, A. Leviatan +1 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Nuclear physics research studies #Quantum chaos and dynamical systems #nucl-th

paper · pdf · doi:10.1103/physrevlett.102.112502

published as Phys.Rev.Lett.102:112502,2009

arxiv created 2008/12/22 · openalex publication_date 2009/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 196Pt.

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