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Chapter 40: Q. 25 (page 1175)
What is the probability that an electron will tunnel through a gap from a metal to a STM probe if the work function is ?
The probability is
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An electron confined in a harmonic potential well emits a 1200nm photon as it undergoes a quantum jump. What is the spring constant of the potential well?
The graph in FIGURE EX40.16 shows the potential-energy function U(x of a particle. Solution of the Schrödinger equation finds that the n=3 level has and that the n=6 level has .
a. Redraw this figure and add to it the energy lines for the n=3 and n=6 states.
b. Sketch the n=3 and n=6 wave functions. Show them as oscillating about the appropriate energy line.
An electron approaches a wide potential-energy barrier of height . What energy electron has a tunneling probability of (a) 10%, (b) 1.0%, and (c) 0.10%?
An electron in a harmonic potential well absorbs a photon with a wavelength of as it undergoes a quantum jump. What wavelength is absorbed in a quantum jump?
The electrons in a rigid box emit photons of wavelengthduring the transition.
a. What kind of photons are they—infrared, visible, or ultraviolet?
b. How long is the box in which the electrons are confined.
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