Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 10, Problem 10.17P
To determine
The Born approximation for one-dimensional scattering using the result in Problem 10.16. And show that the reflection coefficient takes the form,
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Statistical Physics. Microcanonical Ensemble.
Problem 9.20
(a) Show that the skin depth in a poor conductor (σ << we) is (2/0)√√√ε/μ (inde-
pendent of frequency). Find the skin depth (in meters) for (pure) water. (Use the
static values of ε, μ, and σ; your answers will be valid, then, only at relatively
low frequencies.)
(b) Show that the skin depth in a good conductor (σ » we) is λ/2л (where λ is the
wavelength in the conductor). Find the skin depth (in nanometers) for a typical
metal (σ 107 (2 m)¯¹) in the visible range (w≈ 10¹5/s), assuming € ≈ €0 and
μ≈μo. Why are metals opaque?
(c) Show that in a good conductor the magnetic field lags the electric field by 45°,
and find the ratio of their amplitudes. For a numerical example, use the "typical
metal" in part (b).
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