Question: 3. 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.

3. Consider a function, known as the correlation function, defined by

3. 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 correla- tion function explicitly for the ground state of a one-dimensional simple harmonic oscillator

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