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Unable to plot a surface implicitly defined
*To*: mathgroup at smc.vnet.net
*Subject*: [mg130533] Unable to plot a surface implicitly defined
*From*: Pablo de la Hoz <hoz.pablo at gmail.com>
*Date*: Fri, 19 Apr 2013 01:17:06 -0400 (EDT)
*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com
*Delivered-to*: l-mathgroup@wolfram.com
*Delivered-to*: mathgroup-newout@smc.vnet.net
*Delivered-to*: mathgroup-newsend@smc.vnet.net
I have the following function:
X1 = Function[{r, \[Theta], l},
4 Re[(N[Integrate[
E^(-(r^2 + R^2) + 2 I R l/r) (r + I R)^(
2 l) (LaguerreL[1/2 (-l + n),
l, (r^2 + R^2)])^2 , {R, -\[Infinity], \[Infinity]}]])]];
where the function is constant in \[Theta], this function defines a
surface
(more or less cylindrical) through the equation X1(r, \[Theta],
l)=0.08, let's say.
Problem is that I'm unable to draw it neither with the commands:
ContourPlot3D, ListContourPlot3D.
I have spent days trying without solution.
I would be very glad is someone is able to help solve this problem.
Regards,
Pablo
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