Prove Eqs. (6.42) and (6.43), thus showing that the dimension of the (mathrm{SO}(3)) irrep labeled by (j)

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Prove Eqs. (6.42) and (6.43), thus showing that the dimension of the $\mathrm{SO}(3)$ irrep labeled by $j$ is the character $2 j+1$ of the identity. Rearrange the sum and use

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Then take the limit $\alpha \rightarrow 0$ to define the identity element.

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

ISBN: 9781316518618

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Authors: Mike Guidry, Yang Sun

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Question Posted: Mar 27, 2024 06:03 AM

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Prove Eqs. (6.42) and (6.43), thus showing that the dimension of the (mathrm{SO}(3)) irrep labeled by (j)

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2j eina n=0 sin (j+) a sin (a) eija

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

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