Consider a function, known as the correlation function, defined by C(t) = < x (t) x (0)>,

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Consider a function, known as the correlation function, defined by C(t) = < x (t) x (0)>, where x(t) is the position operator in the Heisenberg picture. Evaluate the correlation function explicitly for the ground state of a one-dimensional simple harmonic oscillator. Discuss.

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