Heisenberg uncertainty principle (Question 2 (15 Marks)) — UPSC Physics Optional CSE 2020 Paper II
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A particle is described by the wave function \Psi(x)=\left(\frac{\pi}{2}\right)^{-1/4}e^{-ax^2/2}. Calculate \Delta x and \Delta p for the particle, and verify the uncertainty relation \Delta x\Delta p=\frac{\hbar}{2}.
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