Schrodinger-Newton equation as a possible generator of quantum state reduction
Abstract
It has been suggested by Diosi and Penrose that the occurrence of quantum state reduction in macroscopic objects is related to a manifestation of gravitational effects in quantum mechanics. Although within Penrose's framework the dynamics of the quantum state reduction is not prescribed, it was suggested that the so called Schrodinger-Newton equation can be used to at least identify the resulting classical end states. Here we analyze the extent to which the Schrodinger-Newton equation can be used as a model to generate a full, time dependent description of the quantum state reduction process. We find that when supplied with an imaginary gravitational potential, the Schrodinger-Newton equation offers a rationalisation for some of the hitherto unexplained characteristics of quantum state reduction. The description remains incomplete however, because it is unclear how to fully recover Born's rule.
Keywords
Cite
@article{arxiv.0803.4488,
title = {Schrodinger-Newton equation as a possible generator of quantum state reduction},
author = {Jasper van Wezel and Jeroen van den Brink},
journal= {arXiv preprint arXiv:0803.4488},
year = {2010}
}
Comments
7 pages, 7 figures; added references