Quantum mechanics and stochastic processes: Revised paper posted

ResearchBlogging.org

After having fixed the definition of the extended Itō integral, I have posted a revised version of my paper on arXiv (see here). The idea has been described here. A full account of this story is given here. The interesting aspect from a physical standpoint is the space that is fluctuating both for a Wiener process and a Bernoulli process, the latter representing simply the tossing of a coin. We can sum up everything in the very simple formula

dX(t)=[dW(t)+\beta dt]^\frac{1}{2}.

The constant \beta to be properly fixed to recover Schrödinger equation.

Marco Frasca (2012). Quantum mechanics is the square root of a stochastic process arXiv arXiv: 1201.5091v2

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One Response to Quantum mechanics and stochastic processes: Revised paper posted

  1. […] Further update:  I have posted a revised version of the paper with a proper definition of this generalized class of Ito integrals (see here). […]

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