Consider a Gaussian wave packet in momentum space, equation (6.11). Calculate ((Delta x)^{2}) and ((Delta p)^{2}) in

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Consider a Gaussian wave packet in momentum space, equation (6.11). Calculate $(\Delta x)^{2}$ and $(\Delta p)^{2}$ in this $p$ space, and check again the saturation of Heisenberg's uncertainty relations.

Equation 6.11:-

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Quantum Mechanics A Graduate Course

ISBN: 9781108838733

1st Edition

Authors: Horatiu Nastase

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Question Posted: Mar 27, 2024 05:00 AM

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Consider a Gaussian wave packet in momentum space, equation (6.11). Calculate ((Delta x)^{2}) and ((Delta p)^{2}) in

Question:

p = |(x,t)| = 1 md (d+) (dt) (x - Pot) 2 exp d (1+ 771 h212 m2d4 (x- pot) exp m {} 2d2 iht 1 tht md md (6.11) d + h2t2 md

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Quantum Mechanics A Graduate Course

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