Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
2nd Edition
ISBN: 9780138057152
Author: John Taylor
Publisher: Benjamin Cummings
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Chapter 4, Problem 4.9P
To determine

(a)

Whether low-intensity microwave radiation with wavelength 1cm break a bond or not.

To determine

(b)

The minimum wavelength required to break the 4eV chemical bond.

To determine

(c)

The type of photon for the minimum wavelength.

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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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