The ehrenfest theorem comprises a whole class of results, all of which assume the same form. The first set of equations is called the eulerlagrange equations and the second set is called the hamiltonian equations of motion. Pdf we present arguments against the use of the ehrenfest theorem as a classical limiting method of quantum mechanics. Teorema le equazioni del moto dei valori medi delle osservabili x. Department of physics and astronomy, university of utah, salt lake city, ut 84112, usa dated. The ehrenfest theorem is a special case of a more general relation between the expectation of any quantum mechanical operator and the expectation of the commutator of that operator with the hamiltonian of the system where a is some quantum mechanical operator and. What links here related changes upload file special pages permanent link page information wikidata item cite this page. Media in category ehrenfest theorem this category contains only the following file. Start of derivation of ehrenfests theorem 1961608283. Status of ehrenfests theorem and its generalizations by ruark4. The ehrenfest theorem, named after paul ehrenfest, an austrian theoretical physicist at leiden. The ehrenfest theorem is a special case of a more general relation between the expectation of any quantum mechanical operator and the expectation of the commutator of that operator with the hamiltonian of the system where a is some quantum mechanical. Ehrenfests theorem is indexed in most quantum texts,5 though the.
Ehrenfest theorem derivation using schrodingers equation time derivative of avg momentum duration. Thus, one of paul ehrenfests major contributions to physics. As emphasized in a different context elsewhere3, ehrenfests theorem. Our pdf merger allows you to quickly combine multiple pdf files into one single pdf document, in just a few clicks. Ehrenfest himself looked to onedimensional systems of type h. June 30th 2015 in this note, we approach the virial from a standard quantum mechanics point of view. Pdf ehrenfest theorem and the classical limit of quantum mechanics. Teorema di ehrenfest il teorema di ehrenfest descrive levoluzione temporale dei valori medi della coordinata x i e del suo momento coniugato p i i 1,2,3.
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