EP COSMIC PERSPECTIVE-MOD.MASTERING
EP COSMIC PERSPECTIVE-MOD.MASTERING
9th Edition
ISBN: 9780137453481
Author: Bennett
Publisher: SAVVAS L
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Chapter 21, Problem 53EAP

(a)

To determine

The probability of collision of star and galaxy

(b)

To determine

The probability of collision of gas clouds in two galaxies

(c)

To determine

To Compare: The probabilities of Part (a) and Part (b) and explain

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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.
For number 11 please sketch the harmonic on graphing paper.
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