Improved ansatzs bring deeper insight and numerical precision to oscillators model with variable current and mass

We follow traces of a basic energy-balance equation able to support a precise definition of the mass effect in our model. It might be explained assuming the quantum vacuum similar to a wavy floor constraining the rolling disk in the classical case; but both the constraint and the disk (to us, the particles packet) must be taken as rather elastic objects. This also allows a thermodynamical analogy. We give the role of a (1D) volume to the packet space extension x, and define a peculiar reduced action by the integral of a variable-mass dependent momentum. These quantities can be fitted into the standard volume-entropy relationship. So we are brought to investigate improved positions for the wave phase gradient and mass function, and more effective procedures to solve the multiple eigenvalues problem we deal with. Comparing with previously published results, we confirm these last except that we duly retire the claim of very good numerical precision having been attained in our socalled Second Step refinements. Improved procedures, conceptual arguments and a detailed errata corrige are on FEDOA site (Google search: FEDOA Comments on, FEDOA Bernoulli).