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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 084, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.084 (Mi sigma949) 		 
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
Full-text PDF (390 kB) Citations (16)
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DOI: https://doi.org/10.3842/SIGMA.2014.084
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
Bibliographic databases:
Document Type: Article
MSC: 15A16; 15A30
Language: English
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.
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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