The one-dimensional Gaussian wave packet Ψ(x, t) = A exp[ −(x − vt)² / 4α² ] exp[ i(kx − ωt) ] is an approximate solution of the nonrelativistic Schrödinger equation iħ ∂Ψ/∂t = −(ħ²/2m) ∂²Ψ/∂x² that travels at group velocity v without distortion for a sufficiently
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