Starting from Eq. (6.27) and similar expressions for rotations around the (x) and (y) axes, show that
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Starting from Eq. (6.27) and similar expressions for rotations around the \(x\) and \(y\) axes, show that the generators of 3D rotations are given by Eq. (6.28). Hint: Assume group elements to be parameterized as in Eq. (3.2) with generators \(J_{a}=X_{a}\), expand expressions like Eq. (6.27) in a Taylor series, and compare with Eq. (6.6).
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Related Book For
Symmetry Broken Symmetry And Topology In Modern Physics A First Course
ISBN: 9781316518618
1st Edition
Authors: Mike Guidry, Yang Sun
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