Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 11.3, Problem 11.10P
To determine

At room temperature, whether spontaneous emission or thermally stimulated emission dominates below and above 5×1012 Hz.

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An electron undergoes a spontaneous transition emitting electromagnetic radiation with a frequency centered on a wavelength λ = 532 nm. Ideally, from a classical point of view, what is the characteristic decay time of the electron and what is the width of the spectral line?
This question is for modern physics and wave and particle:   (a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?
What is the relation between the de Broglie wavelength λ, mass m, and kinetic energy K for (a) a lowenergy proton, and (b) a very high energy proton?
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