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jtbell

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All wave packets, no matter what shape, have a position-momentum uncertainty relationship ΔxΔp = k, where k depends on the shape of the packet. The Gaussian wave packet is special because it can be shown from Fourier analysis theory that it has the

[tex]\Delta x \Delta p \ge \frac{\hbar}{2}[/tex]

(the Heisenberg uncertainty principle)

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