Schroedinger Proof in Minplus Complex Analysis
量子物理
2007-05-23 v1
摘要
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.
引用
@article{arxiv.quant-ph/0304096,
title = {Schroedinger Proof in Minplus Complex Analysis},
author = {Michel Gondran},
journal= {arXiv preprint arXiv:quant-ph/0304096},
year = {2007}
}
备注
11 pages, 2 figures, Workshop on Idempotent Mathematics And Mathematical Physics in The International Erwin Schroedinger Institut (ESI) for Mathematical