# Question:A real variable is not recognized as real

## Question:A real variable is not recognized as real

Maple

Dear All,

I am having trouble with doing integration of a complex integrand with Maple 2016. The code is shown below. For simplicity, I have used a real function Psi00, but in general, it should be a complex function. Although I have assumed r to be real, in the final output, there is still an overhead bar on r^1/4. It is not recognized as real and is not multiplied on the r^5/4 factor to give r^3/2. May I ask you for help in solving this problem? Any of your help is highly appreciated!

Best,

Toby

assume(r, real); assume(phi, real);
Psi00 := exp(-(1/2)*r^2)/sqrt(Pi);
/  1  2\
exp|- - r |
\  2   /
-----------
(1/2)
Pi

int(int(conjugate(Psi00*r^(1/4))*Psi00*r^(1/4)*r, r = 0 .. infinity), phi = 0 .. 2*Pi);
/   /             2 ______                          \\
|   |/   /  1  2\\   (1/4)  (5/4)                   ||
|   ||exp|- - r ||  r      r                        ||
|   |\   \  2   //                                  ||
2 |int|----------------------------, r = 0 .. infinity|| Pi
\   \             Pi                                //

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