Re: (N)Integrate help - convergence problem

• To: mathgroup at smc.vnet.net
• Subject: [mg48795] Re: (N)Integrate help - convergence problem
• From: Paul Abbott <paul at physics.uwa.edu.au>
• Date: Wed, 16 Jun 2004 07:48:56 -0400 (EDT)
• Organization: The University of Western Australia
• References: <ca928h\$cc\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```In article <ca928h\$cc\$1 at smc.vnet.net>,
Patrick Jemmer <patrick.jemmer at unn.ac.uk> wrote:

> (*  WAVEFUNCTION *)
>
> Fit5g =
>
> Sqrt[
> 0.0711280497855832 / E^(16*r^2) +
> 0.0950242005793304 / E^(4*r^2) +
> 0.09001525518121072 / E^r^2 +
> 0.011332742959622262 / E^(r^2/4) -
> 0.0003397835348217242 / E^(r^2/16)
> ];

If you try to plot this wavefunction over, say, 0 < r < 5, I think
you'll see what the problem is. The radial wavefunction is not always
real. This is because the last term in the square root,

-0.0003397835348217242 / E^(r^2/16)

dominates for sufficiently large r, leading to complex values.

Cheers,
Paul

--
Paul Abbott                                   Phone: +61 8 9380 2734
School of Physics, M013                         Fax: +61 8 9380 1014
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Crawley WA 6009                      mailto:paul at physics.uwa.edu.au
AUSTRALIA                            http://physics.uwa.edu.au/~paul

```

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