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Chapter 6: Q9CQ (page 223)

In the wide-barrier transmission probability of equation (6-18), the coefficient multiplying the exponential is often omitted. When is this justified, and why?

Short Answer

Expert verified

It is not important for the wide barrier tunneling.

Step by step solution

01

Definition of bound state

Transmission probability is defined as the ratio of the amplitude of the transmitted to that of the incident wave.

02

Explanation and conclusion

When the barrier is very wide, the tunneling probability is very small. At this low value, the decimal precision of the coefficient is not as important as the order of magnitude which can be determined easily by the exponential factor.

Hence, the coefficient is omitted.

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