Schrodinger-Newton equation as a possible generator of quantum state reduction

Details Schrodinger-Newton equation as a possible generator of quantum state reduction Schrodinger-Newton equation as a possible generator of quantum state reduction

2008-03-31

arxiv.org/abs/0803.4488v2

Phil. Mag., 88, 1659-1671 (2008)

Physics

Quantum Physics

7 pages, 7 figures; added references

Scientific paper

10.1080/14786430802251439

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.

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