2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91023We are presenting an internal trajectory model for a quantum particle in the Schroedinger non-relativistic approximation. This model is based on two new mathematical concepts: a complex analytical mechanics in Minplus complex analysis and a periodical non random process which gives a complex Ito formula. This model naturally generates a concept of spin or isospin and the Heisenberg inequalities, and leads to the Schroedinger equation using a generalization of the least action principle adapted to the trajectories of this type.11 pages, 2 figures, Workshop on Idempotent Mathematics And Mathematical Physics in The International Erwin Schroedinger Institut (ESI) for MathematicalQuantum Physicstext