Hello and thanks for responding. The omega represents energy and the h is supposed to be h bar. I could see how that would look strange actually, so I won't use omega anymore.
Anyway, here is another attempt:
<0|x(t)x(to)|0> = <0|exp[iHt/h]exp[-iHt/h] x(to)x(to)exp [-iHt/h]exp[iHt/h]|0>
=...
Homework Statement
The expectation value of motion of a particle over a time interval t-to is
C(t,to) = <0|x(t)x(to)|0>
(product of position operators in Heisenberg representation for ground state harmonic oscillator)
Homework Equations
Schrodinger picture:
<ψ(t)|Ω|ψ(t)> =...