(j=1, m|J,\j=1, m) in 3x3 matrix form. Show that for j=1 only, it is legitimate to replace e,B/ by 1-()- sin B– (1- cos B). Scanned by CamScar 46 Theory of Angular Momentum c. Using (b), prove d')=»(ß) = %3D
(j=1, m|J,\j=1, m) in 3x3 matrix form. Show that for j=1 only, it is legitimate to replace e,B/ by 1-()- sin B– (1- cos B). Scanned by CamScar 46 Theory of Angular Momentum c. Using (b), prove d')=»(ß) = %3D
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Transcribed Image Text:22 a Consider a system with j=1. Explicitly write
(j=1, m1J,lj=1, m)
in 3x3 matrix form.
Show that forj31 only, it is legitimate to replace e,B/h by
sin B
(1- cos B).
Scanned by CamScanner
246
Theory of Angular Momentum
c. Using (b), prove
du-"(B) =
1+ cos f) - sin A
-cos B)
sin B
cos B
sin B
()a-
(1-cos B) Gs
(금
sinB (1
+ cosB)
V2
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