(a) Demonstrate that Eq. (6.10) defines a generator of (mathrm{SO}(2)) by examining the (2 mathrm{D}) rotation matrix...
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(a) Demonstrate that Eq. (6.10) defines a generator of \(\mathrm{SO}(2)\) by examining the \(2 \mathrm{D}\) rotation matrix (6.3) for an infinitesimal rotation \(d \phi\).
(b) Show that Eqs. (6.3) and (6.9) are equivalent by expanding the exponential in Eq. (6.9) to all orders.
Data from Eq. 6.3
Data from Eq. 6.9
Data from Eq. 6.10
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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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