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Quantum time corr: expectation value of particle motion in Schro. pic
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> =...- pfnewt
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- Forum: Advanced Physics Homework Help
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Quantum time corr: expectation value of particle motion in Schro. pic
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 Schrödinger picture: <ψ(t)|Ω|ψ(t)> =...- pfnewt
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- Expectation Expectation value Motion Particle Particle motion Quantum Time Value
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- Forum: Advanced Physics Homework Help