(a) In connection with Eq. (7.35b), explain why is the tiny volume occupied by a collection of...
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(a) In connection with Eq. (7.35b), explain why
is the tiny volume occupied by a collection of the wave’s quanta.
(b) Choose for the collection of quanta those that occupy a cross sectional area A orthogonal to a chosen ray, and a longitudinal length △s along the ray, so V = A△s. Show that d ln △s/dt = d ln C/dt and correspondingly,
(c) Given part (b), show that the conservation law (7.35b) is equivalent to the constancy of nCA along a ray, Eq. (7.35c).
(d) From the results of part (c), derive the constancy of
along a ray(where A is the wave’s amplitude), Eq. (7.35d)
Equations
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Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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