A Compact Formula for Rotations as Spin Matrix Polynomials
Journal Article
·
· Symmetry, Integrability and Geometry: Methods and Applications
- Univ. of Miami, Coral Gables, FL (United States)
- Durham Univ., Durham (United Kingdom)
- Argonne National Lab. (ANL), Argonne, IL (United States)
Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. Here, the simple explicit result exhibits connections between group theory, combinatorics, and Fourier analysis, especially in the large spin limit. Salient intuitive features of the formula are illustrated and discussed.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- Argonne National Laboratory; USDOE Office of Science (SC)
- Grant/Contract Number:
- AC02-06CH11357
- OSTI ID:
- 1395147
- Journal Information:
- Symmetry, Integrability and Geometry: Methods and Applications, Vol. 10; ISSN 1815-0659
- Publisher:
- Institute of Mathematics, National Academy of Sciences UkraineCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 12 works
Citation information provided by
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