If the operator (c_{4}) rotates a system by (frac{pi}{2}) about a specified axis, demonstrate that the operator
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If the operator \(c_{4}\) rotates a system by \(\frac{\pi}{2}\) about a specified axis, demonstrate that the operator set \(\mathrm{C}_{4}=\left\{e, c_{4}, c_{4}^{2}, c_{4}^{3}\right\}\) constitutes an abelian group with the group multiplication defined by application of two successive rotations.
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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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