question archive (a) What is an equation for a coherent superposition of two wave functions and show briefly why this will have a time dependence? For a vibrational superposition in a harmonic oscillator, describe the motion of the wave packet
(a) What is an equation for a coherent superposition of two wave functions and show briefly why this will have a time dependence? For a vibrational superposition in a harmonic oscillator, describe the motion of the wave packet
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(a) What is an equation for a coherent superposition of two wave functions and show briefly why this will have a time dependence? For a vibrational superposition in a harmonic oscillator, describe the motion of the wave packet. It would mean the wave packet not only has a time dependence, but also a localization of the wave function amplitude in the harmonic potential. Explain.
(b) What is a π/2 pulse and what does it mean in terms of how much population is shifted coherently from one state to another? A π/2 pulse can be used to observe an optical or radio frequency free induction decay. Explain what is a free induction decay and what information does it contain. Is the free induction decay observed in absorption or emission? Why?
(c) Four states have frequencies of 200 cm-1, 500 cm-1, 1200 cm-1, and 1800 cm-1? The four states are created in a coherent superposition by a broadband laser pulse. What are all the possible quantum beat frequencies and why?
