Ehrenfest theorem
The Ehrenfest theorem, named after Paul Ehrenfest, an Austrian theoretical physicist at Leiden University, relates the time derivative of the expectation values of the position and momentum operators x and p to the expectation value of the forceF = −dV/dx on a massive particle moving in a scalar potential, Loosely speaking, one can thus say that "quantum mechanical expectation values obey Newton’s classical equations of motion". (This loose statement needs some caveats, see.)
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Ehrenfest theorem
The Ehrenfest theorem, named after Paul Ehrenfest, an Austrian theoretical physicist at Leiden University, relates the time derivative of the expectation values of the position and momentum operators x and p to the expectation value of the forceF = −dV/dx on a massive particle moving in a scalar potential, Loosely speaking, one can thus say that "quantum mechanical expectation values obey Newton’s classical equations of motion". (This loose statement needs some caveats, see.)
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Das Ehrenfest-Theorem, benannt ...... und dessen Erwartungswert dar.
@de
El teorema de Ehrenfest es un ...... co Paul Ehrenfest (1880–1933).
@es
In meccanica quantistica, il t ...... tico austriaco Paul Ehrenfest.
@it
Le théorème d'Ehrenfest, du no ...... le principe de correspondance.
@fr
O teorema de Ehrenfest, nomead ...... Poisson ao invés do comutador.
@pt
The Ehrenfest theorem, named a ...... ovided fluctuations are small.
@en
Twierdzenie Ehrenfesta – podaj ...... dnione przez Paula Ehrenfesta.
@pl
Теоре́ма Эренфе́ста (Уравнения ...... бщение второго закона Ньютона.
@ru
エーレンフェストの定理（エーレンフェストのていり、英: Eh ...... され、量子力学と古典力学の対応を論じるときによく用いられる。
@ja
在量子力學裏，埃倫費斯特定理（Ehrenfest theor ...... ，含有對易算符的量子定理就可以改變為含有泊松括號的經典定理。
@zh
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Das Ehrenfest-Theorem, benannt ...... und dessen Erwartungswert dar.
@de
El teorema de Ehrenfest es un ...... co Paul Ehrenfest (1880–1933).
@es
In meccanica quantistica, il t ...... tico austriaco Paul Ehrenfest.
@it
Le théorème d'Ehrenfest, du no ...... le principe de correspondance.
@fr
O teorema de Ehrenfest, nomead ...... ento da Equação de Heisenberg.
@pt
The Ehrenfest theorem, named a ...... ment needs some caveats, see.)
@en
Twierdzenie Ehrenfesta – podaj ...... dnione przez Paula Ehrenfesta.
@pl
Теоре́ма Эренфе́ста (Уравнения ...... цы описываются уравнениями где
@ru
エーレンフェストの定理（エーレンフェストのていり、英: Eh ...... され、量子力学と古典力学の対応を論じるときによく用いられる。
@ja
在量子力學裏，埃倫費斯特定理（Ehrenfest theor ...... ，含有對易算符的量子定理就可以改變為含有泊松括號的經典定理。
@zh
label
Ehrenfest theorem
@en
Ehrenfest-Theorem
@de
Teorema de Ehrenfest
@es
Teorema de Ehrenfest
@pt
Teorema di Ehrenfest
@it
Théorème d'Ehrenfest
@fr
Twierdzenie Ehrenfesta
@pl
Теорема Эренфеста
@ru
エーレンフェストの定理
@ja
埃倫費斯特定理
@zh