par Brenig, Léon
Référence Journal of physics A, mathematical and general, 40, 17, page (4567-4584)
Publication Publié, 2007
Article révisé par les pairs
Résumé : This recent article constitutes a new orientation of the author's research activity. It is shown that the requirement of invariance of the laws of mechanics under a group of transformations acting on the precision of measurement leads to the emergence of the non-relativistic quantum mechanical Schrödinger equation. Furthermore, the invariance under these transformations requires the existence of a dual type of physical evolution that happens to be equivalent to the so-called Brownian Bridge stochastic process. This process has already been studied by E. Schrödinger in 1932 in order to find a classical origin to the quantum prescription for the calculation of averages. The author's hope is that this duality could have some relation with the existence of two types of processes in quantum mechanics : unitary processes between two successive measurements and non-unitary measurement processes.