Schroedinger Proof in Minplus Complex Analysis

2003/04/13 by Michel Gondran, Gondran, Michel
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0304096

11 pages, 2 figures, Workshop on Idempotent Mathematics And Mathematical Physics in The International Erwin Schroedinger Institut (ESI) for Mathematical

arxiv created 2003/04/13 · arxiv updated 2009/12/01

Abstract

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.

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