Quantum Mechanics: Concepts and Applications · Problem 1.9

Origins of Quantum Physics — Nouredine Zettili

Physics — Quantum Mechanics · free-particle-gaussian-wave-packet-spreading

Problem

Example 1.9 (Free particle with a Gaussian wave packet) Determine how the wave packet corresponding to a free particle, with an initial Gaussian packet ϕ(k)=(a2/2π)1/4e−a2(k−k0)2/4\phi(k) = (a^2/2\pi)^{1/4} e^{-a^2(k-k_0)^2/4}, spreads in time.

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