Consider the two-time position correlation functions, C(t) = (x(t)x(0)), where X(t) is the positi operator in the Heisenberg picture. Evaluate this function explicitly for the ground state of a one-dimensional quantum harmonic oscillator.

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4. Consider the two-time position correlation functions, C(t)= (X(t)x(0)), where X(t) is the position
operator in the Heisenberg picture. Evaluate this function explicitly for the ground state of a
one-dimensional quantum harmonic oscillator.
Transcribed Image Text:4. Consider the two-time position correlation functions, C(t)= (X(t)x(0)), where X(t) is the position operator in the Heisenberg picture. Evaluate this function explicitly for the ground state of a one-dimensional quantum harmonic oscillator.
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