Published 1987 | Version v1
Journal article

On stochastic Schroedinger Mechanics

  • 1. Paris-7 Univ., 75 (France)

Description

The purpose of this article is to further proceed in the study of a class of problems, in the framework of the theory of stochastic control, which provides a non-classical model for accounting for the motion of a non-relativistic quantum particle without spin. The main idea, is tightly related to ones discussed by Schroedinger in 1932 the bases of a kind of stochastic mechanics are laid, as a possible starting point for an alternative approach to Wave mechanics. The present discussion leads to equations (J) and (C) of Louis de Broglie, without assumptions regarding the form of the quantum potential

Abstract (French)

L'objet de cet article est d'approfondir l'etude d'une classe de problemes, dans le cadre de la theorie de la commande stochastique, qui fournit un modele non-classique pour rendre compte du mouvement d'une particule quantique non relativiste sans spin. La methode suivie, se rattache a celle exposee par Schroedinger en 1932. On obtient par cette voie les equations (J) et (C) de Louis de Broglie, sans hypothese sur la forme du potentiel quantique

Additional details

Additional titles

Original title (French)
Sur la Mecanique stochastique de Schroedinger

Publishing Information

Journal Title
Ann. Fond. Louis de Broglie
Journal Volume
12
Journal Issue
3
Series
Ann. Fond. Louis de Broglie.
Journal Page Range
363-376
ISSN
0182-4295
CODEN
AFLBD