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**Problem**

Let us define a wave function [tex]\phi = A \exp \(\frac{-(x-x_0)^2}{4a^2}\) \exp \(\frac{i p_0 x}{\hbar}\) \exp(-i \omega_0 t)[/tex]. Show that [tex](\Delta x)^2 = a^2[/tex]. Also, calculate the uncertainty [tex]\delta p[/tex] for a particle in the given state.

**Attempt at a solution**

I honestly have no idea as to how to proceed... could someone give me a hint without giving away the answer?