The Ehrenfest theorems establish a formal connection between the time dependence of quantum mechanical expectation values of ► observables and the corresponding classical equations of motion. Although mean values alone are insufficient to derive classical behavior from quantum mechanics, the validity of the Ehrenfest relations is an important requirement for a partial derivation of classical physics.
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Joos, E. (2009). Ehrenfest Theorems. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_58
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