Schrodinger-Newton equation with complex Newton constant and induced gravity
Quantum Physics
2009-08-17 v1
Abstract
In the reversible Schrodinger-Newton equation a complex Newton coupling G*exp(-i*alpha) is proposed in place of G. The equation becomes irreversible and all initial one-body states are expected to converge to solitonic stationary states. This feature is verified numerically. For two-body solutions we point out that an effective Newtonian interaction is induced by the imaginary mean-fields as if they were real. The effective strength of such induced gravity depends on the local wave functions of the participating distant bodies.
Keywords
Cite
@article{arxiv.0906.1456,
title = {Schrodinger-Newton equation with complex Newton constant and induced gravity},
author = {Lajos Diósi and Tibor Norbert Papp},
journal= {arXiv preprint arXiv:0906.1456},
year = {2009}
}
Comments
11pp, 3 figs