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Open Quantum Systems Decoherence
Probabilités et fluctuations quantiques (Probabilities and quantum fluctuations)
arXiv
Authors: Michel Fliess
Year
2007
Paper ID
50565
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
This note is sketching a simple and natural mathematical construction for explaining the probabilistic nature of quantum mechanics. It employs nonstandard analysis and is based on Feynman's interpretation of the Heisenberg uncertainty principle, i.e., of the quantum fluctuations, which was brought to the forefront in some fractal approaches. It results, as in Nelson's stochastic mechanics, in stochastic differential equations which are deduced from infinitesimal random walks. An extended english abstract gives most of the details.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2007 reference point for readers tracking recent quantum research.
- This note is sketching a simple and natural mathematical construction for explaining the probabilistic nature of quantum mechanics.
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