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This shows that, apart from an overall phase factor, the pulse travels along
undistorted in shape with a velocity, called the group velocity: d v, - # 0 (7.32) If
an energy density is associated with the magnitude of the wave (or its absolute
where we have introduced a vectorial Alfvén velocity: Bo W 4 = - * T VI. The wave
equation (10.69) for v, is somewhat involved, but it allows simple solutions for
waves propagating parallel or perpendicular to the magnetic field direction.
vector v, and at position 2 an infinitesimal time later (t + 6t) with velocity v + 6v.
The increment in velocity is related to the electron's acceleration a by Öv = a 6t. At
time t the electron's rest frame K' and the laboratory frame K are related by a ...
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Introduction to Electrostatics
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