A Compact Formula for Rotations as Spin Matrix Polynomials
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 sp...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146616 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862620100554653696 |
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| author | Curtright, T.L. Fairlie, D.B. Zachos, C.K. |
| author_facet | Curtright, T.L. Fairlie, D.B. Zachos, C.K. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T13:20:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146616 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:20:32Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Curtright, T.L. Fairlie, D.B. Zachos, C.K. 2019-02-10T10:05:29Z 2019-02-10T10:05:29Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146616 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. The submitted manuscript has been created by UChicago Argonne, LLC, Operator of Argonne
 National Laboratory (Argonne). Argonne, a U.S. Department of Energy Of fice of Science laboratory,
 is operated under Contract No. DE-AC02-06CH11357. The U.S. Government retains for
 itself, and others acting on its behalf, a paid-up nonexclusive, irrevocable worldwide license in
 said article to reproduce, prepare derivative works, distribute copies to the public, and perform
 publicly and display publicly, by or on behalf of the Government. It was also supported in part by
 NSF Award PHY-1214521. TLC was also supported in part by a University of Miami Cooper Fellowship.
 S. Dowker is thanked for bringing ref [12], and whence [5], to our attention. An anonymous
 referee is especially thanked for bringing [14] and more importantly [13] to our attention. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Compact Formula for Rotations as Spin Matrix Polynomials Article published earlier |
| spellingShingle | A Compact Formula for Rotations as Spin Matrix Polynomials Curtright, T.L. Fairlie, D.B. Zachos, C.K. |
| title | A Compact Formula for Rotations as Spin Matrix Polynomials |
| title_full | A Compact Formula for Rotations as Spin Matrix Polynomials |
| title_fullStr | A Compact Formula for Rotations as Spin Matrix Polynomials |
| title_full_unstemmed | A Compact Formula for Rotations as Spin Matrix Polynomials |
| title_short | A Compact Formula for Rotations as Spin Matrix Polynomials |
| title_sort | compact formula for rotations as spin matrix polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146616 |
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