Rigorous solution to the classical space-dependent neutron slowing down transport problem

The isotropic form of the classical space-dependent neutron slowing down problems is solved by applying a Fourier transform with respect to optical distance to the appropriate transport equation and boundary conditions. An analytical solution, step-by-step with respect to the ''relative'' lethargy, is constructed in the transform space; the inversion is facilitated by the use of Bromwich's technique. In the process, a procedure for determining the lethargy-dependent spatial moments of the total (scalar) flux is developed