A one-dimensional harmonic oscillator is in its ground state for t (a) Using time-dependent perturbation theory to
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A one-dimensional harmonic oscillator is in its ground state for t
(a) Using time-dependent perturbation theory to first order, obtain the probability of finding the oscillator in its first excited state for t > 0. Show that the t → ∞ (τ finite) limit of your expression is independent of time. Is this reasonable or surprising?
(b) Can we find higher excited states? You may use
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a To find the probability of finding the onedimensional harmonic oscillator in its first excited sta...View the full answer
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