Question: In a very strong magnetic field, we can consider electrons as constrained to move in 1 dimension along the direction of the magnetic field. Consider

In a very strong magnetic field, we can consider electrons as constrained to move in 1 dimension along the direction of the magnetic field. Consider a beam of relativistic protons propagating with density nb and speed ub ∼ c through a cold electron-proton plasma along B. Generalize the dispersion relation (21.74) for modes with k ‖ B.

pl (w - ku) + w p2 (w - ku) + .

pl (w - ku) + w p2 (w - ku) + . = 1. (21.74)

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