Calculate the uncertainty (standard deviation) of the position of a particle in an infinite-walled potential well that is in the ground state. What is the uncertainty at the time? What is the uncertainty in its total energy?
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Step 1
The wave function of a particle in an infinite potential well in the ground state is given by: $$\psi(x) = \sqrt{\frac{2}{a}}\sin\left(\frac{\pi x}{a}\right)$$ where $a$ is the width of the well. Show more…
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