dorsal/arxiv
View SchemaSchroedinger Proof in Minplus Complex Analysis
| Authors | Michel Gondran |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304096 |
| URL | https://arxiv.org/abs/quant-ph/0304096 |
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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"abstract": "We are presenting an internal trajectory model for a quantum particle in the\nSchroedinger non-relativistic approximation. This model is based on two new\nmathematical concepts: a complex analytical mechanics in Minplus complex\nanalysis and a periodical non random process which gives a complex Ito formula.\n This model naturally generates a concept of spin or isospin and the\nHeisenberg inequalities, and leads to the Schroedinger equation using a\ngeneralization of the least action principle adapted to the trajectories of\nthis type.",
"arxiv_id": "quant-ph/0304096",
"authors": [
"Michel Gondran"
],
"categories": [
"quant-ph"
],
"title": "Schroedinger Proof in Minplus Complex Analysis",
"url": "https://arxiv.org/abs/quant-ph/0304096"
},
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