PHYSICS:F/SCI.+ENGRS.(LL)-W/WEBASSIGN
10th Edition
ISBN: 9781337888714
Author: SERWAY
Publisher: CENGAGE L
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Chapter 1, Problem 3P
To determine
The radius of the second sphere.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 1 Solutions
PHYSICS:F/SCI.+ENGRS.(LL)-W/WEBASSIGN
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