Journal article
Dynamical group chains and integrity bases
Journal of mathematical physics, v 26(12), pp 3053-3067
Dec 1985
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
An algorithm for constructing a Hamiltonian from the generators of a dynamical group G, which is invariant under the operations of a symmetry group H ⊆ G, is presented. In practice, this algorithm is subject to a large number of simplifications. It is sufficient to construct an integrity basis of H scalars in terms of which all H scalars can be expressed as polynomial functions. In many instances the integrity basis exists in 1–1 correspondence with the Casimir operators for a group–subgroup lattice based on the pair H ⊆ G. When this is so the theory embodies natural symmetry limits and analytic results for observables can be given. Examples of the application of the algorithm are given for the dynamical group SU(2) with symmetry subgroups C
3 and U(1) and for SU(N) ⊇ SO(3), N=3, 4, and 6.
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Details
- Title
- Dynamical group chains and integrity bases
- Creators
- R. Gilmore - Drexel UniversityJ. P. Draayer - Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104
- Publication Details
- Journal of mathematical physics, v 26(12), pp 3053-3067
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 15
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1985AXZ0600006
- Scopus ID
- 2-s2.0-0041658524
- Other Identifier
- 991019173703104721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Mathematical