Schroedinger Proof in Minplus Complex Analysis

Michel Gondran

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arXiv · quant-ph/0304096

Schroedinger Proof in Minplus Complex Analysis

Michel Gondran

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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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Michel Gondran. 2003-04-13. Schroedinger Proof in Minplus Complex Analysis. https://arxiv.org/abs/quant-ph/0304096

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