- 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 |_*_*[e={{x/a)²]dx = a√ñ 102 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.)

- 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 |__[e={{x/a)²]dx = a√ñ 102 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.)