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arXiv · 1801.00510

Quantum Mechanical versus Stochastic Processes in Path Integration

Marco Patriarca
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Abstract

By using path integrals, the stochastic process associated to the time evolution of the quantum probability density is formally rewritten in terms of a stochastic differential equation, given by Newton's equation of motion with an additional multiplicative stochastic force. However, the term playing the role of the stochastic force is defined by a non-positive-definite probability functional, providing a clear example of the negative (or "extended") probabilities characteristic of quantum mechanics.

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Marco Patriarca. 2018-01-01. Quantum Mechanical versus Stochastic Processes in Path Integration. https://arxiv.org/abs/1801.00510

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