This is example from my book:(adsbygoogle = window.adsbygoogle || []).push({});

For some particle, let ψ(x,0) = [itex]\frac{1}{\sqrt{a}}[/itex]exp^(-|x|/a).

Finding the probability that the particle is found between -x_{0}and x_{0}yields a probability of 86.5%,independentof x_{0}! But how can this be, since as x_{0}tends to infinity, the probability of finding the particle between negative infinity and infinity must be 1....so the probability suddenly jumps from 86% to 100%?

I am thinking that maybe this is not a valid wavefunction since it has a sharp point at x=0 and my professor said that the wavefunction cannot have any sharp bends...?

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# Probability of finding particle

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