The dispersion relation tells us how the wave frequency ω\omegaω depends on the wavenumber kkk. For a free Schrödinger particle, start with the time-dependent Schrödinger equation:iℏ∂ψ∂t=−ℏ22m∂2ψ∂x2i\hbar\frac{\partial \psi}{\partial t} = -\frac{\hbar^2}{2m}…
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