4) Finally, the other generator of SO(3) for rotation through the y-axis by an angle can be obtained by considering the rotation matrix Ry(0) = (cose 0 0-sine 0 cose 1 sine 0 ing)

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Mathematical Physics 3 Topic : Rotation Group SO(2) and SO(3).
4) Finally, the other generator of SO(3) for rotation through the y-axis by an angle can be
obtained by considering the rotation matrix
Ry(0) =
0-sine
0
cose
cose
0 1
sine 0
dRy
Using the same procedure, find the other generator of SO(3), which is Sy=-i 9=0
de
Transcribed Image Text:4) Finally, the other generator of SO(3) for rotation through the y-axis by an angle can be obtained by considering the rotation matrix Ry(0) = 0-sine 0 cose cose 0 1 sine 0 dRy Using the same procedure, find the other generator of SO(3), which is Sy=-i 9=0 de
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