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