Schroedinger Proof in Minplus Complex Analysis
Abstract
Description
We 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 Mathematical
11 pages, 2 figures, Workshop on Idempotent Mathematics And Mathematical Physics in The International Erwin Schroedinger Institut (ESI) for Mathematical