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Starting from a simple classical framework and employing some stochasticconcepts, the basic ingredients of the quantum formalism are recovered. It hasbeen shown that the traditional axiomatic structure of quantum mechanics can berebuilt, so that the quantum mechanical framework resembles to a large extentthat of the classical statistical mechanics. The main assumption used here isthe existence of a random irrotational component in the classical momentum.Various basic elements of the quantum formalism (calculation of expectationvalues, the Heisenberg uncertainty principle, the correspondence principle) arerecovered by applying traditional techniques, borrowed from classicalstatistical mechanics.Comment: 8 pages, no figure

IRROTATIONAL MOMENTUM FLUCTUATIONS CONDITIONING THE QUANTUM NATURE OF PHYSICAL PROCESSES