(adsbygoogle = window.adsbygoogle || []).push({}); 1. The solution to Schrodinger's wave equation for a particular situation is given by [tex]\psi(x) = \sqrt{\frac{2}{a_{0}}} \cdot e^{\frac{-x}{a_{0}}} [/tex]. Determine the probability of finding the particle between the limits [tex] 0 \leq x \leq a_{0} [/tex]

2. Relevant equations

[tex] \int_{- \infty}^{\infty} {(\psi(x)})^2 dx} = 1[/tex]

3. The attempt at a solutionAfter evaluating that integral I am coming up with 0.864665. So wouldn't that mean that there would be an 86% probability of finding the particle in between those limits? Well, the answer in the back of the book is 4*10^(-14)%

[tex] \int_{0}^{a_{0}} {(\sqrt{\frac{2}{a_{0}}} \cdot e^{\frac{-x}{a_{0}}}})^2 dx}[/tex]

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# Homework Help: Simple Quantum Mechanics Problem

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