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MathGroup Archive 2003

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Re: Bug 3! Gaussian integration in 5.0 is broken!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43777] Re: Bug 3! Gaussian integration in 5.0 is broken!
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Sat, 4 Oct 2003 02:04:55 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <blj66o$1i8$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <blj66o$1i8$1 at smc.vnet.net>,
 Konstantin L Kouptsov <kouptsov at wsu.edu> wrote:

> Check this:
> 
> Integrate[Exp[(I/h)*(x*Sqrt[B/2 + D] + x0)^2], {x, -Infinity, Infinity}]
> 
> and observe the Erf[] functions that should not be there. Neither should x0.

However, note the assumptions that Integrate makes. On the other hand,

  Assuming[x0 > 0 && B > 0 && D > 0 && h > 0,
   Integrate[E^((I*(Sqrt[B/2 + D]*x + x0)^2)/h), 
      {x, -Infinity, Infinity}]]

yields a reasonable result.

Cheers,
Paul

-- 
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