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• W1985361432 abstract "We explored the stochastic analysis on a complex Hilbert space to show that one of the cornerstones of quantum mechanics (QM), namely Heisenberg's uncertainty relation, can be derived in the classical probabilistic framework. We created a new mathematical representation of quantum averages: as averages with respect to classical random fields. The existence of a classical stochastic model matching with Heisenberg's uncertainty relation makes the connection between classical and quantum probabilistic models essentially closer. In real physical situations, random fields are valued in the L2-space. Hence, although we model QM and not QFT, the classical systems under consideration have an infinite number of degrees of freedom. And in our modeling, infinite-dimensional stochastic analysis is the basic mathematical tool." @default.
• W1985361432 created "2016-06-24" @default.
• W1985361432 creator A5026578496 @default.
• W1985361432 date "2013-02-11" @default.
• W1985361432 modified "2023-10-18" @default.
• W1985361432 title "The Schrödinger–Robinson inequality from stochastic analysis on a complex Hilbert space" @default.
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• W1985361432 doi "https://doi.org/10.1088/0031-8949/87/03/038109" @default.
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