Question Bank NAT • 2 Marks Section 4: Quantum Mechanics Schrodinger equation

QB_PH_102: Schrodinger equation

Question Statement

For a Gaussian wave packet $\psi(x) \propto e^{-x^2 / (4\sigma^2)}$, the product $\Delta x \cdot \Delta p$ in units of $\hbar$ is:
Correct Answer
0.5, 0.5
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Gaussian is a minimum uncertainty state: $\Delta x \Delta p = \hbar / 2 = 0.5\hbar$.
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