We get the equation system corresponding to a
set of observables by
multiplying the Boltzmann equation with the observable
as a weight function and
integrating over the cylinder-symmetric phase space .
Due to the structure of the
Boltzmann equation
additional moments not stemming from the set
of observables appear in
the equations.
In the parabolic band case we use the
set of weight functions .
For the unknowns we use the corresponding moments
.
This is done in the calculations below.