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A Compact Formula for Rotations as Spin Matrix Polynomials
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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A Compact Formula for Rotations as Spin Matrix Polynomials
Інший ID:
2010 Mathematics Subject Classification: 15A16; 15A30
DOI:10.3842/SIGMA.2014.084
DOI:10.3842/SIGMA.2014.084
Посилання:
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.
Підтримка:
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.
Дата:
2014
Переглядів:
638
Завантажень:
375
Анотація:
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.
