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Departamento de Gravitación y Teoría de CamposSeminarios 2015 |
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Instituto de Ciencias Nucleares, UNAM |
Jueves 29 de enero, a las 17:00 hrs en la Sala de Seminarios A2.25, 2. piso del ICN
Cosmas Zachos (Argonne National Laboratory)
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 spin limit. Salient intuitive features of the formula are illustrated and discussed. |