1. The problem statement, all variables and given/known data
The potential V(x) in the equation
[itex]m\frac{d^2}{dt^2}=-\left \langle \frac{d\hat{V}}{dx} \right \rangle[/itex]
changes very slowly for the typical wavelength wavefunction. Calculate the lowest corrector for the classical equation of motion.
2. Relevant equations
The Ehrenfest Theorem
[itex]m\frac{d^2}{dt^2}=-\left \langle \frac{d\hat{V}}{dx} \right \rangle[/itex]
3. The attempt at a solution
I don't understand the question. I can't find in any book a mention of a corrector for the Ehrenfest equation. And what does it mean with the wavelentgh of the wavefunction?
Thank you for your time.
The potential V(x) in the equation
[itex]m\frac{d^2}{dt^2}=-\left \langle \frac{d\hat{V}}{dx} \right \rangle[/itex]
changes very slowly for the typical wavelength wavefunction. Calculate the lowest corrector for the classical equation of motion.
2. Relevant equations
The Ehrenfest Theorem
[itex]m\frac{d^2}{dt^2}=-\left \langle \frac{d\hat{V}}{dx} \right \rangle[/itex]
3. The attempt at a solution
I don't understand the question. I can't find in any book a mention of a corrector for the Ehrenfest equation. And what does it mean with the wavelentgh of the wavefunction?
Thank you for your time.
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