Wave-packets with opposite momenta.

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Is it possible to prepare a particle with a wave-packet having momenta in opposite directions,
so that you have two localized packets moving away from each other (for a single particle)?
 
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Sure. Send a particle at a potential barrier with a height and width such that the particle has some probability to tunnel through, and some probability to be reflected. After encountering the barrier, a portion of the particle's wave function will be on the other side of the barrier traveling in the original direction, while a different portion will be moving away from the barrier opposite the original direction of motion, having been reflected.
 
is phase velocity of electron in microwave sense is greater than speed of light?
 
please solve my problem...
is phase velocity of electron is greater than speed of light.?
 
i think its very complicated things..
 
its not higher than the speed of light, I think its half the particle's velocity (group velocity)

Vphase = (h*omega)/(h k) = (p^2/2m)/p = p/2m = v/2 roughly speaking..
 

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