COSMIC PERSPECTIVE
COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135729458
Author: Bennett
Publisher: PEARSON
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Chapter 5, Problem 61EAP

(a)

To determine

The speed and direction of a star in which this line appears at wavelength 120.5 nm .

(b)

To determine

The speed and direction of a star in which this line appears at wavelength 121.2nm .

(c)

To determine

The speed and direction of a star in which this line appears at wavelength 121.9nm .

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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.

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COSMIC PERSPECTIVE

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