Packet Derivation Link | Wave

is a Gaussian function [24, 25]. This form is favored because: It minimizes the uncertainty product

Conversely, given ( \Psi(x,0) ), the amplitudes are found via the inverse Fourier transform: wave packet derivation

Suppose (A(k)) is — significant only for (k \approx k_0). Expand (\omega(k)) around (k_0): is a Gaussian function [24, 25]