Infra-Mecanique Quantique

Formalisme de Dirac et surprises mathematiques en mecanique quantique

Differents formalismes sont utilises en mecanique quantique pour la description des etats et des observables : la mecanique ondulatoire, la mecanique matricielle et le formalisme invariant. Nous discutons les problemes et inconvenients du formalisme invariant ainsi que ceux de la notation des bras et kets introduite par Dirac dans ce contexte. Nous indiquons comment tous les problemes peuvent etre resolus ou du moins evites. Une serie d'exemples illustre les points souleves et montre comment l'insouciance mathematique peut aisement conduire a des contradictions mathematiques surprenantes.

Contribution a la recherche des equations de Mouvement en Mecanique quantique et a une interpretation deterministe

In this thesis, we present the deterministic approach of quantum mechanics already presented in quant-ph/0103071 (Phys. lett. A 285 (2001) 27-33) of which this thesis is the embryo.

Approche intrinsèque des fluctuations quantiques en mécanique stochastique (An intrinsic approach of the quantum fluctuations in stochastic mechanics)

This note is answering an old questioning about the Fényes-Nelson stochastic mechanics. The Brownian nature of the quantum fluctuations, which are associated to this mechanics, is deduced from Feynman's interpretation of the Heisenberg uncertainty principle via infinitesimal random walks stemming from nonstandard analysis. It is therefore no more necessary to combine those fluctuations with a background field, which has never been well understood. Most of the technical details are contained in an extended english abstract.

关于量子力学与波动方法的研究报告

Mémoire sur la mécanique quantique et l'approche ondulatoire

针对哥本哈根诠释违背因果性与实在性原则的问题，本文延续德布罗意思想，研究波动力学作为传统量子力学的替代方案，梳理了导波理论、德布罗意-玻姆理论等相关理论与类比。

Einstein et la mecanique quantique - Quelques reperes, quelques surprises

Even if Einstein brought major contributions as a founder of quantum mechanics, he remained deeply unsatisfied with the bases of this structure he knew to be so efficient for physics. His critics are often known through his numerous controversies wih N. Bohr for a few decades. It has long been suggested that his critics were obsolete and came from an aging man and that it was more a question of philosophy anyway. After J. Bell's contribution however it was claimed that the debate could be closed by an experimental proof, a strange experimental intrusion in philosophy or a strange philosophy. F…

Les ordinateurs quantiques affrontent le chaos

Quantum computers facing chaos. Quantum parallelism allows to perform computation in a radically new manner. A quantum computer based on these new principles may resolve certain problems exponentially faster than a classical computer. We discuss how quantum computers can simulate complex dynamics, in particularly the dynamics of chaotic systems, where the errors of classical computation grow exponentially fast. ----- Le parallelisme autorise par la mecanique quantique permet d'effectuer des calculs d'une maniere radicalement nouvelle. Un ordinateur quantique fonde sur ces principes pourrait re…