Abstract
The purpose of this paper is to review what it is possible nowadays to say about space-time behaviour of electrons in atoms and molecules.
In the first chapter the wave conception of the electron is criticized and the poverty of the non reductionist attitude is underlined.
In the second chapter the two main interpretations of quantum mechanics are recalled: the Copenhagen and the Statistical Interpretations. The meaning and the successes of the Statistical Interpretation are explained, and it is shown that it does not solve all problems, because quantum mechanics is irreducible to a classical statistical theory. In the third chapter, we study, in the spirit of the Statistical Interpretation, the fluctuation of the particle number and its relationship to loge theory, delocalization and correlation.
The fourth chapter reviews different stochastic models for microphysics. The markovian Fenyes-Nelson process allows us to give an interpretation of the original heuristic considerations of Schrödinger. Non markov processes with Schrödinger time evolution are shown to be equivalent to the base state analysis of Feynmann, but they are unsatisfactory from a probabilistic point of view. Stochastic electrodynamics is presented as the most satisfactory conception nowadays.
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Claverie, P., Diner, S. (1976). Statistical and Stochastic Aspects of the Delocalization Problem in Quantum Mechanics. In: Chalvet, O., Daudel, R., Diner, S., Malrieu, J.P. (eds) Localization and Delocalization in Quantum Chemistry. Localization and Delocalization in Quantum Chemistry, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1456-4_23
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