A quantum mechanics problem calls for the reader to find the momentum space wave function of [tex] \Psi(x,0) = A/(x^2 + a^2) [/tex]. But I do not know how to resolve the fourier transform:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \Phi(p, 0) = \frac{1}{\sqrt{2 \pi \hbar}}\int_{-\infty}^\infty e^{-i p x/\hbar} \frac{A}{x^2+a^2}dx.[/tex]

The problem implies an exact solution can be found since it subsequantly asks you to check normalization and compute the expected values of p and p^{2}using the transformed fn. Mathematica evaluates the transform in terms of a special fn MeijerG.

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# Homework Help: Troublesome Integral

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