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A particle is in the ground state of a simple harmonic oscillator. a) Compute , , , . (10 points) b) Check the uncertainty principle

A particle is in the ground state of a simple harmonic oscillator. a) Compute , ,

, . (10 points) b) Check the uncertainty principle for this state. (5 points) c) Compute the expectation value of the kinetic and potential energies. Provide brief comments on your results. (5 points)

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