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one more thing i forgot to ask, what does u-u0 represent and how does this show that electrons with velocities u0 close to the phase velocity of the wave have pertubations that grow in time? Best Wishes G

Thanks for the speedy response, very much appreciated!

I have been given a derivation describing the physics of landau damping, but i don't quite understand it. It starts with the equation for a charged particle in a 1d electric field varying as Eexp[i(kx-wt)] being determined by d2x/dx2=e/m Eexp[i(wt-kx)]. Since we are dealing with a linearized...