Recent content by Jacob

  1. J

    Calculating Ratios of Moments: Spatial Extent of Distribution

    Thanks for the help. Unfortunately I only know unnormalised second and fourth moments of the distributions (which is why I need to divide the two!). I have two similar distributions which I would like to compare on the basis of the unnormalised second and fourth moments.
  2. J

    Calculating Ratios of Moments: Spatial Extent of Distribution

    I've been told that there are useful interpretations of the ratios of moments of probability density distributions, such as <x^4>/<x^2>. I only have un-normalised values of the second and higher moments of the distribution of interest. Is there any way of quantifying the spatial extent of the...
  3. J

    Mathematica Fourier transform with Mathematica (Dirac mean position eigenfunction)

    Thanks :). Unfortunately it's the difference from k that's important as it is the exact spatial extent of the wavefunction which is of interest (it is a Dirac delta in the untransformed Foldy-Wouthuysen representation since it's a mean position eigenfunction and mean position = r in that...
  4. J

    Mathematica Fourier transform with Mathematica (Dirac mean position eigenfunction)

    Hi again, have I posted this in the right forum? If not please suggest where I'm most likely to get an answer! Otherwise I would be very grateful if anyone could tell me either how to Fourier transform: k\,{\sqrt{1+{\frac1{\sqrt{1+{k^2}}}}}} or that it is not possible to do so.
  5. J

    Mathematica Fourier transform with Mathematica (Dirac mean position eigenfunction)

    Mathematica can't calculate Fourier transform (Dirac mean position eigenfunction) Hi, I'm attempting to use Mathematica to calculate a mean-position eigenfunction of the Dirac equation. To do so I need to evaluate Fourier transforms (from p-space to r-space) of wavefunctions dependent on...
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