Solution to 1986 Problem 59


The group velocity is
\begin{align*}v_g = \frac{d w}{d k} = \frac{c^2 k }{\sqrt{c^2 k^2 + m^2}}\end{align*}
As k \to 0, v_g \to 0 and as k \to \infty, v_g \to c.


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