Problem 2.8 A particle of mass m in the infinite square well (of width a) starts out in the state (x,0)= JA. 0≤x≤a/2. 10. a/2 ≤x≤a, for some constant 4, so it is (at t = 0) equally likely to be found at any point in the left half of the well. What is the probability that a measurement of the energy (at some later time f) would yield the value ²²/2ma²?

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Problem 2.8 A particle of mass m in the infinite square well (of width a) starts out
in the state
A. 0≤x≤a/2,
(x,0) =
0, a/2 ≤x≤ a,
for some constant 4, so it is (at t = 0) equally likely to be found at any point in
the left half of the well. What is the probability that a measurement of the energy
(at some later time f) would yield the value 2ħ²/2ma²?
Transcribed Image Text:Problem 2.8 A particle of mass m in the infinite square well (of width a) starts out in the state A. 0≤x≤a/2, (x,0) = 0, a/2 ≤x≤ a, for some constant 4, so it is (at t = 0) equally likely to be found at any point in the left half of the well. What is the probability that a measurement of the energy (at some later time f) would yield the value 2ħ²/2ma²?
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