|The Road to Reality
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|Author:||deant [ 01 Sep 2012, 17:50 ]|
|Post subject:||Exercise [21.11]|
Replacing C with C+iD (C,D real) yields the wave packet formula:
Expanding out the exponent gives , and so:
The first exponential is just a (complex) multiplying constant; the second controls the frequency, and the third shapes the amplitude.
Examining the second and third exponentials, we can see immediately that the wave packet has frequency , and is centered at (i.e. peaks at) .
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