The electron-electron guiding function

                 The integral of interest is

                                          Eqn 1

Let

                             Eqn 2

 

Figure 1

And then make a change of variables to y defined by

 

 

                                                    Eqn 3

So that

                                                                      Eqn 4

Making

             Eqn 5

Which gives the weight as

                                                                Eqn 6