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Chapter 6: Q14E (page 224)
Verify that the reflection and transmission probabilities given in equation (6-7) add to 1.
The values of T and R in equations (6-7) add up to 1
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Suppose the tunneling probability isfor a wide barrier when E is
(a) About how much smaller would it be if ’E’ were instead ?
(b) If this case does not support the general rule that transmission probability is a sensitive function of E, what makes it exceptional?
Calculate the reflection probability for an electron encountering a step in which the potential drop by
From equations (6-23) and (6-29) obtain the dispersion coefficient for matter waves (in vacuum), then show that probability density (6-35) follows from (6-28)
Question: An electron bound in an atom can be modeled as residing in a finite well. Despite the walls. When many regularly spaced atoms are relatively close together as they are in a solid-all electrons occupy alltheatoms. Make a sketch of a plausible multi-atom potential energy and electron wave function.
In the wide-barrier transmission probability of equation , the coefficient multiplying the exponential is often omitted. When is this justified, and why?
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