Lie point symmetries and the geodesic approximation for the Schr\"odinger-Newton equations
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0509066,
title = {Lie point symmetries and the geodesic approximation for the Schr\"odinger-Newton equations},
author = {Oliver Robertshaw and Paul Tod},
journal= {arXiv preprint arXiv:math-ph/0509066},
year = {2009}
}