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Fourier Transform of a wave function
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[QUOTE="d3nat, post: 4496266, member: 349320"] [h2]Homework Statement [/h2] [itex] \psi (x) = Ne^{ \frac{-|x|}{a}+ \frac{ixp_o}{/hbar}}[/itex] Compute Fourier transform defined by ##\phi (p) = \frac{1}{ \sqrt{2 \pi \hbar}} \int \psi (x) e^{ \frac{-ipx} {\hbar}} dx## to obtain ## \phi (x) ## [h2]Homework Equations[/h2] Fourier transform = ##g(x)= \frac {1}{2 \pi} \int f(p) e^{ipx} dx ## [h2]The Attempt at a Solution[/h2] I tried first solving the integral of ##\phi (p)## and I got this hopeless answer of ## \frac{N(-a- \frac{i \hbar p - i \hbar p_o}{p_o p})} { \sqrt{2 \pi \hbar}}## When I plugged that into the Fourier transform, my final answer wound up being some coefficients times ##e ^ \infty## This problem has multiple steps and depends on me being able to figure out what the ## \phi (x) ## isHelp. I don't know what I'm doing wrong? [/QUOTE]
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Fourier Transform of a wave function
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