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 Author Comment/Response Pierre 09/09/12 4:25pm Hi I'm surprised Mathematic does not give the correct Fourier Transform of a basic Lorentzian function: Boltz = 1/(1 + x^2) Transf_Boltz = FourierTransform[Boltz, x, X] => gives: Exp(-Abs[X]) * Sqrt(Pi/2) When normally it should give: Exp(-Abs[X]) * Pi Same story for a more complicated Lorentzian function: Boltz_2 = 1/(1 + 4*x^2) Transf_Boltz_2 = FourierTransform[Boltz_2, x, X] => gives: (1/2) * Exp(-Abs[X]/2) * Sqrt(Pi/2) When normally it should give: Exp(-Pi*Abs[X]) * (Pi/2) And when adding the width (Deltax or Dx) of the lorentzian function: Boltz_3 = 1/(1+(2*(x-xo)/Dx)^2) Then Mathematica gives even more funny things... Can someone help ? Attachment: Essai_11.nb, URL: ,

 Subject (listing for 'Fourier Transform of a Lorentz function') Author Date Posted Fourier Transform of a Lorentz function Pierre 09/09/12 4:25pm Re: Fourier Transform of a Lorentz function Bill Simpson 09/09/12 9:22pm Re: Re: Fourier Transform of a Lorentz function Pierre 09/10/12 1:33pm
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