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Next: Conservation and Continuity Up: Ehrenfest's Theorem Previous: Simple Harmonic Oscillator

Constant Force

Use Ehrenfest's theorem to show that for an arbitrary state tex2html_wrap_inline359 describing the time evolution of a particle of mass m subjected to a constant external force F, the average position always obeys the classical result

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In addition, use Ehrenfest's theorem to show that as time evolves, there is no change in the width of the momentum distribution of the packet (recall problem 6-4.2.3!)

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Prof. Tomas Alberto Arias
Mon Apr 7 11:35:08 EDT 1997