General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 29, Problem 37E
(a)
To determine
The energy versus
(b)
To determine
The ratio of peak height.
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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 29 Solutions
General Physics, 2nd Edition
Ch. 29 - Prob. 1RQCh. 29 - Prob. 2RQCh. 29 - Prob. 3RQCh. 29 - Prob. 4RQCh. 29 - Prob. 5RQCh. 29 - Prob. 6RQCh. 29 - Prob. 7RQCh. 29 - Prob. 8RQCh. 29 - Prob. 9RQCh. 29 - Prob. 10RQ
Ch. 29 - Prob. 1ECh. 29 - Prob. 2ECh. 29 - Prob. 3ECh. 29 - Prob. 4ECh. 29 - Prob. 5ECh. 29 - Prob. 6ECh. 29 - Prob. 7ECh. 29 - Prob. 8ECh. 29 - Prob. 9ECh. 29 - Prob. 10ECh. 29 - Prob. 11ECh. 29 - Prob. 12ECh. 29 - Prob. 13ECh. 29 - Prob. 14ECh. 29 - Prob. 16ECh. 29 - Prob. 17ECh. 29 - Prob. 18ECh. 29 - Prob. 19ECh. 29 - Prob. 21ECh. 29 - Prob. 22ECh. 29 - Prob. 24ECh. 29 - Prob. 25ECh. 29 - Prob. 26ECh. 29 - Prob. 27ECh. 29 - Prob. 28ECh. 29 - Prob. 29ECh. 29 - Prob. 30ECh. 29 - Prob. 31ECh. 29 - Prob. 32ECh. 29 - Prob. 33ECh. 29 - Prob. 34ECh. 29 - Prob. 35ECh. 29 - Prob. 36ECh. 29 - Prob. 37ECh. 29 - Prob. 38ECh. 29 - Prob. 39ECh. 29 - Prob. 40ECh. 29 - Prob. 41ECh. 29 - Prob. 42ECh. 29 - Prob. 43ECh. 29 - Prob. 44E
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