The Theory of Measurement
Roger Balian. I would like to present a small part of a study we started around ten years ago with two colleagues—one being in Armenia and the other in the Netherlands and both travelling frequently, this has slowed down our work somewhat. This work is now finished and is published in detail in Physics Reports. Our goal consisted in trying to understand how ideal measurements behaved without going beyond conventional quantum mechanics. In order to specify in which framework we placed ourselves, I will start by recalling the statistical interpretation that I consider to be the minimal interpretation of quantum mechanics, in which one places the least number of things possible. I will then proceed to the presentation of the model and its resolution, with the problems it raises.
KeywordsQuantum Mechanic Pure State Density Operator Diagonal Block Statistical Ensemble
- 1.Armen E. Allahverdyan, Roger Balian, Theo M. Nieuwenhuizen, «Understanding quantum measurement from the solution of dynamical models», Physics Reports, 2012, p. 1–187. Available on the IPhT website http://ipht.cea.fr.
- 2.François David gives a lecture on the use C*-algebras as the starting point for quantum mechanics; he explains why these types of algebra come into play and in particular why these algebras act on complex numbers (they are the only ones to have separability).Google Scholar