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arXiv · 1702.00771

Quantum Mechanics with a non-zero quantum correlation time

Jean-Philippe Bouchaud
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Abstract

We propose an extension of Quantum Mechanics based on the idea that the underlying "quantum noise" has a non-zero, albeit very small, correlation time $\tau_c$. The standard (non-relativistic) Schrodinger equation is recovered to zeroth order in $\tau_c$, and the first correction to energy levels is computed. Some consequences are discussed, in particular the violation of Heisenberg's uncertainty principle and the restoration of locality at short times.

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Jean-Philippe Bouchaud. 2017-02-02. Quantum Mechanics with a non-zero quantum correlation time. https://doi.org/10.1103/physreva.96.052116

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