Trimestre "Le Monde Quantique"

A quantum dynamics including the Schrödinger evolution and the von Neumann spontaneous collapse

par Prof. Franck LALOË (Lab Kastler Brossel, ENS, Paris)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette
The linear Schrödinger equation does not predict the uniqueness of  measurement results;  it does not predict that macroscopic bodies should  be located at one place in space only. This is the origin of the so  called measurement problem, Schrödinger cat paradox, etc. Theories such  as GRW (Ghirardi-Rimini-Weber) and CSL (Continuous spontaneous  localization) theories solve the problem by adding stochastic terms to  the Schrödinger equation. In this talk we will propose another approach  to reach the same unified dynamics, but without requiring the  introduction of stochastic Wiener processes acting in all space. The  method combines ideas of the dBB (de Broglie Bohm) interpretation and of  CSL. It introduces an attraction between the space density of Bohmian  position and the space density operators, with a deterministic dynamics;  randomness arises only from the initial random positions of the Bohmian  positions. Various microscopic or macroscopic consequences of this  dynamics will be discussed.

Notes de la conférence
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