Chapter 40: Q. 35 (page 1176)
For the quantum-well laser of Figure 40.16, estimate the probability that an electron will be found within one of the GaAlAs layers rather than in the GA As layer. Explain your reasoning.
The probability will be approximately
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A particle in a potential well is in the quantum state. How many peaks are in the probability density ?
Sketch the n=4 wave function for the potential energy shown in FIGURE EX40.13.
Show that the normalization constant for the wave functions of a particle in a rigid box has the value given in Equation 40.26.
Tennis balls traveling faster than routinely bounce off tennis rackets. At some sufficiently high speed, however, the ball will break through the strings and keep going. The racket is a potential-energy barrier whose height is the energy of the slowest string-breaking ball. Suppose that atennis ball traveling at is just sufficient to break the -thick strings. Estimate the probability that a ball will tunnel through the strings without breaking them. Give your answer as a power of rather than a power of.
What is the quantum number of the particle in FIGURE Q? How can you tell?
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