phy-520/journal/R06

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double-slit revisited, motivating why we look now at matter waves...
plane waves
general form
relation of k to ω, not generalized to a formula but always has some relation with the wave motion, e.g, ω = kv with v the speed of the plane wave.
group velocity is something I understood much less about.
From B&S 2.3.2, I see it is bound up in the relationship between k and ω, e.g.,
∂²/∂k² ω = β where k = k₀.
the fourier transformation gives a k-space function representation for an x-space wave function at a given time.
for a Gaussian,