- #1
arierreF
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Homework Statement
In the instant t=0, we have the following wave function of a particle in a infinite potential well with a width [itex]a[/itex].
[itex]\psi (x) = \sqrt{\frac{2}{a}}\text{Sin}\left[\frac{n*\text{Pi}*x}{a}\right][/itex]
Calculate the momentum space wave function.
Ok, i just want to confirm if i have to use the following equation to calculate momentum space wave function:
[itex]\phi (p) = \sqrt{\frac{1}{2*\text{Pi}*\hbar}}\int _0^ae^{-i*p*x/\hbar}dx\sqrt{\frac{2}{a}}\text{Sin}\left[\frac{n*\text{Pi}*x}{a}\right][/itex]
Considering that the well has a zero potential between 0 and a.
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