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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4efa533c-100d-428e-a35d-4e246140db19%2F1d6d3b9d-eda7-497b-9e30-8080b884db8e%2Fxagz5ec_processed.jpeg&w=3840&q=75)
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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?
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