Aspects of the foundations of quantum mechanics: stochastic processes and analogy with turbulence.

Author(s)

Léa Ferreira dos Santos

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2000-08-10

Examining board members

Carlos Ourivio Escobar; Salomon Sylvain Mizrahi; Miled Hassan Youssef Moussa; Vicente Pleitez; Walter Felipe Wreszinski

• Advisor: Carlos Ourivio Escobar

Abstract

In this thesis we present some possible interpretations for the description of quantum phenomena. We make use of Nelson\'s stochastic interpretation to describe an open bosonic string and show that the results coincide with those obtained from the first quantization. Moreover, we combine this interpretation, which deals with the particle position, with a particular localization model for the wave function known as CSL, which allows us to analyse the influence of the wave function evolution on the movement of the particle. The wave function af these reduction models performs a stochastic motion in Hilbert space due to the addition of a multiplicative noise in the Schrödinger equation. We show that the particle, on the other hand, suffers a turbulent motion, which motivates an analogy between open quantum systems and turbulence, similarly to what had already been done between isolated quantum systems and brownian motion. (AU)