Ehrenfest's Theorem is an application of the Heisenberg Equation of Motion.
It's what tells us that Newton's Laws are recovered at the classical level
It is the "bridge" between the classical and the quantumpic.twitter.com/VgrKbyQgkh
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One of his contributions. Ehrenfest was a very sharp mind and helped advance quantum mechanics (adiabatic hypothesis), Bose-Einstein statistics, and many critical observations about the nature of the electron (infinite self-energy). Too bad he had a low self-esteem though.
We’ve all been there fam
Actually isn't your working independent of the representation? Since the fact that [V(X), P] = i hbar Del(V)(X) is a straight up consequence of [X^n,P] = i hbar (n) x^(n-1) and V being analytic.
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