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MathGroup Archive 2005

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Re: Mathematica can't calculate Fourier transform (Dirac mean position eigenfunction)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55042] Re: Mathematica can't calculate Fourier transform (Dirac mean position eigenfunction)
  • From: "Jacob" <jacob.linacre at gmail.com>
  • Date: Thu, 10 Mar 2005 05:24:54 -0500 (EST)
  • References: <d0juvv$n6i$1@smc.vnet.net><d0mn9v$70e$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Thanks for your help. Does that mean I have no hope of transforming the
wavefunction into r space?

I'm also not sure what is meant by "absolute integrable". Does that
just mean that the integral from zero to infinity exists? If so, why is
Mathematica happy to transform functions such as 1, k, k^2 etc?


Incidentally, for the Klein-Gordon case, the upper/lower components of
the wavefunction were given by

k ( (1+k^2)^(1/4) ± (1+k^2)^(-1/4) )

and that transformed without difficulty.


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