Suppose a quanton's wavefunction at a given time is y(x) = Ae-¹(x/a)², where A is an un- specified constant and a= 1.5nm. According to the table of integrals [le=3(x/a)³²]dx = a√ñ

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Suppose a quanton's wavefunction at a given time is y(x) = Ae-(x/a)², where A is an un-
specified constant and a = 1.5nm. According to the table of integrals
le={(x/a) ²]dx = a√ñ
Transcribed Image Text:Suppose a quanton's wavefunction at a given time is y(x) = Ae-(x/a)², where A is an un- specified constant and a = 1.5nm. According to the table of integrals le={(x/a) ²]dx = a√ñ
If we perform an experiment to locate the quanton at this time, what would be the proba-
bility of a result within +0.1nm of the origin? (Hint: Note that 0.1 nm is pretty small com-
pared to the range over which the exponential varies significantly. You should not therefore
have to actually calculate and integral.)
Transcribed Image Text:If we perform an experiment to locate the quanton at this time, what would be the proba- bility of a result within +0.1nm of the origin? (Hint: Note that 0.1 nm is pretty small com- pared to the range over which the exponential varies significantly. You should not therefore have to actually calculate and integral.)
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