Consider a non-relativistic particle moving in a potential U(r). Can either the phase or the group velocity of the particle exceed the speed of light? What happens to the phase velocity vp at the turning point in the potential U(x), where the particle gets reflected and the group velocity vanishes, v - 0?

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Consider a non-relativistic particle moving in a potential U(r).
Can either the phase or the group velocity of the particle exceed the speed
of light? What happens to the phase velocity vp at the turning point in
the potential U(x), where the particle gets reflected and the group velocity
vanishes, v - 0?
Transcribed Image Text:Consider a non-relativistic particle moving in a potential U(r). Can either the phase or the group velocity of the particle exceed the speed of light? What happens to the phase velocity vp at the turning point in the potential U(x), where the particle gets reflected and the group velocity vanishes, v - 0?
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