Hello, I have a slight problem with Quantumtheory here.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

I have solved the schrödinger equation in the momentum space for a delta potential and also transfered it into real space. So now I have to find the correlation between the width of the wavefunction in both spaces (and then motivate it physically) and I am stuck here because I don't even know where to start.

2. Relevant equations

[itex]\Psi (x) = \sqrt{\kappa}e^{- \kappa |x|}[/itex]

[itex]\Psi (p) = \frac{\sqrt{2 ( \hbar \kappa)^3}}{\sqrt{\pi}(p^2 + (\hbar \kappa)^2)}[/itex]

3. The attempt at a solution

I was thinking about maybe the uncertainty relation of momentum and space would help here, but I am stuck where to start.

Hope someone can help or give a hint.

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# Comparison of width of a wavefunction in real space and momentum space

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