Show that the matrices constitute a representation of the group (mathrm{C}_{2}) described in Box 2.2 . Diagonalize

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Show that the matrices

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constitute a representation of the group $\mathrm{C}_{2}$ described in Box 2.2 . Diagonalize this set of matrices and show that the 2D representation $\left(t_{1}, t_{2}\right)$ is reducible to a direct sum of $\mathrm{C}_{2}$ irreps.

Data from Box 2.2

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

ISBN: 9781316518618

1st Edition

Authors: Mike Guidry, Yang Sun

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Question Posted: Mar 27, 2024 06:02 AM

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Show that the matrices constitute a representation of the group (mathrm{C}_{2}) described in Box 2.2 . Diagonalize

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1 11 = (69) 12 == ( ))

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Symmetry Broken Symmetry And Topology In Modern Physics A First Course

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