Lie point symmetries and the geodesic approximation for the Schrödinger-Newton equations

Details Lie point symmetries and the geodesic approximation for the Schrödinger-Newton equations Lie point symmetries and the geodesic approximation for the Schrödinger-Newton equations

2005-09-28

arxiv.org/abs/math-ph/0509066v1

Physics

Mathematical Physics

Scientific paper

10.1088/0951-7715/19/7/002

We consider two problems arising in the study of the Schr\"odinger-Newton
equations. The first is to find their Lie point symmetries. The second, as an
application of the first, is to investigate an approximate solution
corresponding to widely separated lumps of probability. The lumps are found to
move like point particles under a mutual inverse-square law of attraction.

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