ispersion relaxtation for a wave is given at omega(k)=C|sinka|,where C is a constant the group velocity of wave vanishes at
Question
Solution 1
The group velocity of a wave is given by the derivative of the dispersion relation with respect to the wave number k. In this case, the dispersion relation is ω(k) = C|sin(ka)|.
To find the group velocity, we need to take the derivative of ω with respect to k:
v_g = dω/dk = C * cos(ka) * a
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