A one-dimensional harmonic oscillator begins in its ground state at time t = 0. For t 2 0, the oscillator is subject to a time dependent force of F(t) = Foe-t/T. (2) Using time-dependent perturbation theory to first order, obtain the probabililty of finding the particle in its first excited state for t > 0. Show that your result is independent of time as t → o. Is this surprising?
A one-dimensional harmonic oscillator begins in its ground state at time t = 0. For t 2 0, the oscillator is subject to a time dependent force of F(t) = Foe-t/T. (2) Using time-dependent perturbation theory to first order, obtain the probabililty of finding the particle in its first excited state for t > 0. Show that your result is independent of time as t → o. Is this surprising?
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Transcribed Image Text:A one-dimensional harmonic oscillator begins in its ground state at time t = 0. For t > 0, the
ocillator is subject to a time dependent force of
F(t) = Foe¬t/r.
(2)
Using time-dependent perturbation theory to first order, obtain the probabililty of finding the particle
in its first excited state for t > 0. Show that your result is independent of time as t → o. Is this
surprising?
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