Partial Dynamical Symmetry

Amiram Leviatan, Y. Alhassid

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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.
Original languageAmerican English
Title of host publicationGroup theoretical methods in physics
Subtitle of host publicationProceedings of the XIX international colloquium, Salamanca, Spain, June 29-July 4, 1992
EditorsM.A. del Olmo, M. Santander, J. Mateos Guilarte
Place of PublicationMadrid, Spain
Number of pages4
ISBN (Print)8478341595, 9788478341597
StatePublished - 1992

Publication series

NameAnales de física. Monografías


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