On the Theory of Relativistic Brownian Motionстатья
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Дата последнего поиска статьи во внешних источниках: 29 мая 2024 г.
Аннотация:Abstract—The approach to the theory of a relativistic random process is considered by the pathintegral method as Brownian motion taking into account the boundedness of speed. An attemptwas made to build a relativistic analogue of the Wiener measure as a weak limit of finite-differenceapproximations. A formula has been proposed for calculating the probability particle transitionduring relativistic Brownian motion. Calculations were carried out by three different methods withidentical results. Along the way, exact and asymptotic formulas for the volume of some parts andsections of an N-1-dimensional unit cube were obtained. They can have independent value.