Schrodinger-Newton equation with complex Newton constant and induced gravity
arXiv:0906.1456 · doi:10.1016/j.physleta.2009.07.020
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.
11pp, 3 figs
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