Question: 1. Find V(x,0) for a Gaussian wave-packet (k) = Ae-a (k-ko) where A is a normalization factor to be found. Calculate the probability of

1. Find V(x,0) for a Gaussian wave-packet (k) = Ae-a (k-ko) where A is a normalization factor to be found.

1. Find V(x,0) for a Gaussian wave-packet (k) = Ae-a (k-ko) where A is a normalization factor to be found. Calculate the probability of finding the particle in the region -a/2 x a/2. 2. Find o(k) for a square wave-packet V(x) = Aeikoz 0 xa |x|> a Find the factor A so that (r) is normalized. Hint: Use Fourier Transform to solve above two questions. (1) 3. A 45kW broadcasting antenna emits radio waves at a frequency of 4MHz. (a) How many photons are emitted per second? (b) Is the quantum nature of the electromagnetic radiation important in analyzing the radiation emitted from this antenna?

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