## Abstract

A novel type oi Symmetry structure, which we call ‘partial dynamical symmetry’,

is discussed. A general algorithm is presented to canstrun Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstatcs. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.

is discussed. A general algorithm is presented to canstrun Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstatcs. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.

Original language | American English |
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Title of host publication | Group theoretical methods in physics |

Subtitle of host publication | Proceedings of the XIX international colloquium, Salamanca, Spain, June 29-July 4, 1992 |

Editors | M.A. del Olmo, M. Santander, J. Mateos Guilarte |

Place of Publication | Madrid, Spain |

Publisher | Ciemat |

Pages | 291-294 |

Number of pages | 4 |

Volume | 1 |

ISBN (Print) | 8478341595, 9788478341597 |

State | Published - 1992 |

### Publication series

Name | Anales de física. Monografías |
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Volume | 1 |