Ehrenfest Theorem: Enunciate & Implications for Classical/Quantum Mechanics

[mjda]

This may seem rather silly, but how would I go about enunciating Ehrenfest’s theorem?

Also, does anyone know what this theorem implies for the relation between classical and quantum mechanics?

Any suggestions or help is greatly appreciated!

 

[Demystifier]

What do you mean by "enunciate" Ehrenfest’s theorem?

 

[jfizzix]

This may seem rather silly, but how would I go about enunciating Ehrenfest’s theorem?

Also, does anyone know what this theorem implies for the relation between classical and quantum mechanics?

Any suggestions or help is greatly appreciated!

It's pronounced pretty much as it's spelled, but The first E is a short e as in bed, and the h is silent.

What Ehrenfest's theorem says about the relationship between classical and quantum physics, is that the expectation values (average values) of quantum observables evolve according to Newton's laws:

The time derivative of the average momentum is equal to the average force
The average momentum is equal to the mass times the rate of change of the average position.