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A Compact Formula for Rotations as Spin Matrix Polynomials

Vernadsky National Library of Ukraine

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Title A Compact Formula for Rotations as Spin Matrix Polynomials
 
Creator Curtright, T.L.
Fairlie, D.B.
Zachos, C.K.
 
Description 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. 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.
 
Date 2019-02-10T10:05:29Z
2019-02-10T10:05:29Z
2014
 
Type Article
 
Identifier A Compact Formula for Rotations as Spin Matrix Polynomials / T.L. Curtright, D.B.Fairlie, C.K. Zachos // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 17 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 15A16; 15A30
DOI:10.3842/SIGMA.2014.084
http://dspace.nbuv.gov.ua/handle/123456789/146616
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України