Creating a function that will do a Complex conjugate

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Creating a function that will do a Complex conjugate*From*: richard at florida.et.byu.edu (Richard B. Christensen)*Date*: Sat, 20 Mar 93 17:44:21 -0700

I felt so proud of myself when I wrote the following function that would do complex conjugation. It usually works. But I have no clue why it would not work on the spherical harmonics. Here is the data Mathematica 2.1 for HP 9000 RISC Copyright 1988-92 Wolfram Research, Inc. -- Motif graphics initialized -- In[1]:= MagSquared[EQ_]:=Module[{a,b},a=EQ;b=EQ /. I -> -I ;a b] In[2]:= MagSquared[a+I b] Out[2]= (a - I b) (a + I b) In[3]:= MagSquared[Cos[a+I b]] Out[3]= Cos[a - I b] Cos[a + I b] In[4]:= SphericalHarmonicY[3,2,theta,phi] 2 I phi 7 2 Out[4]= 15 E Sqrt[------] Cos[theta] Sin[theta] 480 Pi In[5]:= MagSquared[SphericalHarmonicY[3,2,theta,phi]] 4 I phi 2 4 105 E Cos[theta] Sin[theta] Out[5]= ------------------------------------ 32 Pi The function did not conjugate the function. Does anyone know why? Richard