Partial dynamical symmetry (PDS) extends and complements the concepts of exact and dynamical symmetry. It allows one to remove undesired constraints from an algebraic theory, while preserving some of the useful aspects of a dynamical symmetry, and to study the effects of symmetry breaking in a controlled manner. An example of a PDS in an interacting fermion system is presented. The associated PDS Hamiltonians are closely related with a realistic quadrupole-quadrupole interaction and provide new insights into this important interaction.Partial dynamical symmetry (PDS) extends and complements the concepts of exact and dynamical symmetry. It allows one to remove undesired constraints from an algebraic theory, while preserving some of the useful aspects of a dynamical symmetry, and to study the effects of symmetry breaking in a controlled manner. An example of a PDS in an interacting fermion system is presented. The associated PDS Hamiltonians are closely related with a realistic quadrupole-quadrupole interaction and provide new insights into this important interaction.

Computational and Group-Theoretical Methods in Nuclear PhysicsFeb 1, 20040 citations

Partial dynamical symmetry in Bose-Fermi systems

P. Van Isacker, Jan Jolie, T. DARRAH THOMAS +1 more

We generalize the notion of partial dynamical symmetry (PDS) to a system of interacting bosons and fermions. In a PDS, selected states of the Hamiltonian are solvable and preserve the symmetry exactly, while other states are mixed. As a first example of such novel symmetry construction, spectral features of the odd-mass nucleus $^{195}\mathrm{Pt}$ are analyzed.We generalize the notion of partial dynamical symmetry (PDS) to a system of interacting bosons and fermions. In a PDS, selected states of the Hamiltonian are solvable and preserve the symmetry exactly, while other states are mixed. As a first example of such novel symmetry construction, spectral features of the odd-mass nucleus $^{195}\mathrm{Pt}$ are analyzed.

arXiv:1506.06578Physical Review CJul 7, 20159 citations

PARTIAL DYNAMICAL SYMMETRIES IN QUANTAL MANY-BODY SYSTEMS

P. Van Isacker

International Symposium on Nuclear Structure PhysicsAug 1, 20010 citations

SYMMETRIES AND STATISTICAL BEHAVIOR IN FERMION SYSTEMS

J. B. French, J. P. Draayer

WORLD SCIENTIFIC eBooksDec 9, 20101 citation

^{195}\mathrm{Pt}

are analyzed.