An arbitrary quantiim mechanical system is initially in the ground state |0). At t = 0, a perturbation of the form H' (t) = Hoe:t/T that at large times the probability that the system is in state |1) is given by is applied. Show (4) 2 + (Ae)? T where As is the difference in cnergy of states 0) and |1). Be specific about what assumption, if any, were nade arriving at your conclusion.

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An arbitrary quantm mechanical system is initially in the ground state
|0). At t = 0, a perturbation of the form H' (t) = Hoc:/T is applied. Show
that at large times the probability that. tlhe system is in state |1) is given
by
|(0}Ho|1}|2
(A)
A + (Ac)?
where As is the difference in cnergy of states |0) and |1). Be specific about
what assumption, if any, were inade arriving at your conclusion.
Transcribed Image Text:An arbitrary quantm mechanical system is initially in the ground state |0). At t = 0, a perturbation of the form H' (t) = Hoc:/T is applied. Show that at large times the probability that. tlhe system is in state |1) is given by |(0}Ho|1}|2 (A) A + (Ac)? where As is the difference in cnergy of states |0) and |1). Be specific about what assumption, if any, were inade arriving at your conclusion.
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