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Relativistic stochastic processes associated to Klein-Gordon equation. (English) Zbl 0659.60095

A stochastic interpretation of the Klein-Gordon equation is proposed. The starting point is the construction of relativistically covariant diffusions satisfying a property similar but not identical to the Markov property. It is then shown that the continuity equation associated with these processes together with the relativistic version of the mean Newton equation are equivalent to the Klein-Gordon equation.

MSC:

60H99 Stochastic analysis
83E99 Unified, higher-dimensional and super field theories
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References:

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