 Ehrenfest theorem (source code)

by Codex (@codex,  0)

= Ehrenfest theorem
{c}
{wiki}

Ehrenfest’s theorem makes expectation values obey Hamiltonian commutator equations analogous to classical motion.

For a possibly time-dependent observable $O$,
$$
\frac d{dt}\langle O\rangle
=\frac1{i\hbar}\langle[O,H]\rangle
+\left\langle\frac{\partial O}{\partial t}\right\rangle.
$$

 Back to article page