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Ehrenfest equations

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Dynamical systems Thermodynamics Thermodynamic equations
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Ehrenfest equations describe the time evolution of the average values of position and momentum in quantum mechanics, particularly in the context of the interaction between classical and quantum systems. Named after the physicist Paul Ehrenfest, these equations establish a bridge between classical mechanics and quantum mechanics by showing how certain classical quantities can be derived from quantum mechanical expectations. In a typical setting, consider a quantum system described by a Hamiltonian \( H \).

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