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This article is cited in 16 scientific papers (total in 16 papers)
A Compact Formula for Rotations as Spin Matrix Polynomials
Thomas L. Curtrighta, David B. Fairlieb, Cosmas K. Zachosc a Department of Physics, University of Miami, Coral Gables, FL 33124-8046, USA
b Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK
c High Energy Physics Division, Argonne National Laboratory, Argonne, IL 60439-4815, USA
Abstract:
Group elements of $\mathrm{SU}(2)$ are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. 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.
Keywords:
spin matrices; matrix exponentials.
Received: May 7, 2014; in final form August 7, 2014; Published online August 12, 2014
Citation:
Thomas L. Curtright, David B. Fairlie, Cosmas K. Zachos, “A Compact Formula for Rotations as Spin Matrix Polynomials”, SIGMA, 10 (2014), 084, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma949 https://www.mathnet.ru/eng/sigma/v10/p84
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Abstract page: | 172 | Full-text PDF : | 81 | References: | 32 |
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