542-problem-5 - make a transition to a) the first excited...

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Chem. 542 Assignment by Nancy Makri PROBLEM 5 Consider a harmonic oscillator of frequency ϖ in its ground state. At 0 t = a time- independent perturbation 1 ˆ ˆ ( ) H t x λ = is turned on. Using first order time-dependent perturbation theory, calculate as a function of time the probability for the system to
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Unformatted text preview: make a transition to a) the first excited state of the unperturbed harmonic oscillator, b) the second excited state of the unperturbed harmonic oscillator. Comment on the physical interpretation of your results....
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This note was uploaded on 02/08/2012 for the course CHEM 542 taught by Professor Gruebele during the Spring '08 term at University of Illinois, Urbana Champaign.

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