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* Page found: Dynamik im Schrödinger- Heisenberg- und Wechselwirkungsbild (eq math.1644.28)

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\begin{align}
& \left[ \hat{H},{{{\hat{x}}}_{k}} \right]=\frac{\hbar }{i}\frac{\partial \hat{H}}{\partial {{{\hat{p}}}_{k}}}=\frac{\hbar }{i}{{{\hat{x}}}_{k}}^{\circ }\Rightarrow {{{\hat{x}}}^{\circ }}=\frac{\partial \hat{H}}{\partial \hat{p}}=\frac{{\hat{p}}}{m} \\ 

& \left[ \hat{H},{{{\hat{p}}}_{k}} \right]=-\frac{\hbar }{i}\frac{\partial \hat{H}}{\partial {{{\hat{x}}}_{k}}}\Rightarrow {{{\hat{p}}}^{\circ }}=-\frac{\partial \hat{H}}{\partial \hat{x}}=-\nabla V\left( {\hat{x}} \right) \\
\end{align}

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[H^,x^k]=iH^p^k=ix^kx^=H^p^=p^m[H^,p^k]=iH^x^kp^=H^x^=V(x^)
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