Show that for any function f(x) and the momentum operator px, the operator [f(x), px] i hbar (df/dx) [Hint: Have the operators “operate" on a wavefunction to the right] =

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**Quantum Mechanics: Show That**

In quantum mechanics, demonstrate that for any function \( f(x) \) and the momentum operator \( p_x \), the following operator relation holds:

\[
[f(x), p_x] = i \hbar \left( \frac{df}{dx} \right)
\]

**Hint:** Consider how the operators interact with a wavefunction positioned to their right.
Transcribed Image Text:**Quantum Mechanics: Show That** In quantum mechanics, demonstrate that for any function \( f(x) \) and the momentum operator \( p_x \), the following operator relation holds: \[ [f(x), p_x] = i \hbar \left( \frac{df}{dx} \right) \] **Hint:** Consider how the operators interact with a wavefunction positioned to their right.
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