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= = (1) A particle of mass m in the potential V(x) mw2x2 has the initial wave function: V(x, 0) = Ae-Bε². (a) Find out A. (b) Determine the probability that Eo = hw/2 turns up, when a measurement of energy is performed. Same for E₁ 3hw/2. (c) What energy values might turn up in an energy measurement? [Notice that many n values are ruled out, just as in your answer to (b).] (c) Sketch the probability to measure hw/2 as a function of ẞ and explain the maximum why is it expected to be there, even without performing any calculation?
Transcribed Image Text:= = (1) A particle of mass m in the potential V(x) mw2x2 has the initial wave function: V(x, 0) = Ae-Bε². (a) Find out A. (b) Determine the probability that Eo = hw/2 turns up, when a measurement of energy is performed. Same for E₁ 3hw/2. (c) What energy values might turn up in an energy measurement? [Notice that many n values are ruled out, just as in your answer to (b).] (c) Sketch the probability to measure hw/2 as a function of ẞ and explain the maximum why is it expected to be there, even without performing any calculation?
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