  Usual approaches to quantisation of a 3-Toda lead to numerical calculations
requiring many steps that can be time consuming to insure their reliability. In
order to reduce as much as possible the numerical part of the EKB quantisation
procedure, and then to ease numerical calculations, we propose a reformulation
of the mathematical framework with more adapted variables. The resulting
equations and procedure might be easily implemented in a short Mathematica
code. This more explicit framework will be useful for studying quantum
Toda-Bianchi IX models in quantum cosmology where the true Bianchi IX
anisotropy Hamiltonian can be approximated by a 3-particle Toda system.
