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Advanced PhysicsQ&A LibraryA one-dimensional harmonic oscillator begins in its ground state at time t = 0. For t > 0, theoscillator is subject to a time dependent force ofF(t) Foet/(2)Using time-dependent perturbation theory to first order, obtain the probabililty of finding the particlein its first excited state for t > 0. Show that your result is independent of time as t > o0. Is thissurprising?Question

Asked Dec 4, 2019

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It's a quantum mechanics question.

Step 1

Using the definition for probability from time-dependent perturbation theory,

Step 2

In the operator notation, the position operator is,

Step 3

Using the expression for energy...

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