The Ehrenfest Theorem relates the time evolution of the expectation values of position and momentum in quantum mechanics to the classical equations of motion, showing that these expectation values obey Newton's second law when the potential is evaluated at the expectation value of position. Named for Paul Ehrenfest, it is a foundational result clarifying the correspondence between quantum and classical mechanics.
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StatementThe Ehrenfest theorem relates the time derivative of the expectation values of the position and momentum operators x and p to the expectation value of the force. 1 Classification
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Source Ehrenfest theorem, Wikipedia
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1. Ehrenfest theorem, Wikipedia
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The Ehrenfest theorem, named after Austrian theoretical physicist Paul Ehrenfest, relates the time derivative of the expectation values of the position and momentum operators x and p to the expectation value of the force.
References section
Ehrenfest, P. (1927). Bemerkung über die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik. Zeitschrift für Physik. 45 (7-8): 455-457.
In Branch: Mathematical Physics, Lead
relates the time derivative of the expectation values of the position and momentum operators
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