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## Homework Statement

Consider a wave packet satisfying the relation ## \Delta x \Delta p_x \approx \hbar ##

Show that if the packet is not to spread appreciably while it passes through a fixed position, the condition ## \Delta p_x << p_x ## must hold.

## Homework Equations

## p_x = m \ddot{x} ##

## The Attempt at a Solution

I feel I am missing some information, I wote down ## (x - x_0)(p - p_0) = (x - x_0)m(x - x_0) \approx \hbar ## .... cant see how to apply the inequality usefully?