Quantum Mechanics Revisited
by Jean Claude Dutailly
Publisher: arXiv 2013
Number of pages: 65
From a general study of the relations between models, meaning the set of variables with their mathematical properties, and the measures they represent, a new formalism is developed, which covers the scope of Quantum Mechanics. In this paper we prove that the states of any physical system can be represented in a Hilbert space, that a self-adjoint operator is associated to any observable, that the result of a measure must be an eigen value of the operator and appear with the usual probability law.
Home page url
Download or read it online for free here:
by F. Laloe - Zuckschwerdt Publishers
A discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the special correlations that this theory makes possible: they are forbidden by very general arguments based on realism and local causality.
by Roman Schmied - arXiv
This document is aimed at advanced students of physics who are familiar with the concepts and notations of quantum mechanics. It tries to bridge the gap between simple analytic calculations and complicated large-scale computations.
by Daniel A. Lidar - arXiv.org
This is a self-contained set of lecture notes covering various aspects of the theory of open quantum system, at a level of a graduate course. The main emphasis is on completely positive maps and master equations, both Markovian and non-Markovian.
by Ivan Todorov - arXiv
Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics).