The Schrödinger–Newton equation as a possible generator of quantum state reduction

Jasper van Wezel, Jeroen van den Brink

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

It has been suggested by Diósi 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 Schrödinger–Newton equation can be used to at least identify the resulting classical end states. Here we analyse the extent to which the Schrödinger–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 Schrödinger–Newton equation offers a rationalization 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.
Original languageEnglish
Pages (from-to)1659-1671
JournalPhil. Mag
Volume88
DOIs
Publication statusPublished - 5 Jun 2008

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