The normalized wave function of a particle in the ground state in an infinite square well:
Where L is the length of the well.
x0 = (1/2)L - (1/2)Resolution = (1/2)(L - 0.15L) = 0.425 L
x1 = (1/2)L + (1/2)Resolution = (1/2)(L + 0.15L) = 0.575L
A particle detector has a resolution 15% of the width of an infinite square well.
What is the chance that the detector will find a particle in the ground state of the square well if the detector is centered on the midpoint of the well?
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