(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

start with the wave function

[itex]\Psi(x,0) = Ae^{-cx^{2}}e^{ikx}[/itex]

where A,c, and k are real constants (and c is positive)

i) Normalize [itex]\Psi(x,0)[/itex]

ii) Determine [itex]\Psi(x,t)[/itex] and [itex]|\Psi(x,t)|^{2}[/itex]

2. Relevant equations

3. The attempt at a solution

I normalized it to get [itex]A = (\frac{2c}{\pi})^{1/4}[/itex]

And now to determine [itex]\Psi(x,t)[/itex], I'm fairly sure that I have to make the wave function as a superposition of the energy eigenvectors of the wave-function. However, I am unsure of how to go about doing this.

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# Scattering of a gaussian wave packet at a potential

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