### Abstract

Schrödinger's equation can be applied to the weak regions of deep gravitational wells provided the eigenstates do not extend into regions of strong gravity where relativistic approach would be required. Using this approach we find the existence of certain stable, high angular momentum eigenstate solutions that have no classical analogue, and unusual properties radically different to those of traditionally localized matter or orbiting particles. States which are realistically bound necessarily involve large quantum numbers, the study of which requires special mathematical techniques. We present some the results from the mathematical techniques which we have derived to deal with large quantum valued states, and investigate some of the more interesting properties of these states, which include extremely long lifetimes and low interaction rates with photons and localized particles. In particular we determine the broad structure, position and extent of the relevant eigenstates, and estimates of the values of the overlap integrals that ultimately lead to the various interaction rates. We also examine some of the astrophysical consequences of the existence of gravitational eigenstates that have these unusual properties.

Original language | English |
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Title of host publication | AIP 18th National Congress |

Subtitle of host publication | incorporating the 27th AINSE Plasma Science Conference |

Place of Publication | Australia |

Publisher | AIP |

Pages | 1-4 |

Number of pages | 4 |

Publication status | Published - 2008 |

Event | Australian Institute of Physics Congress - Adelaide, S.A., Australia Duration: 30 Nov 2008 → 05 Dec 2008 |

### Conference

Conference | Australian Institute of Physics Congress |
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Country | Australia |

Period | 30/11/08 → 05/12/08 |

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## Cite this

Ernest, A., & Collins, M. (2008). The Properties of Eigenstates in Weak Gravity. In

*AIP 18th National Congress: incorporating the 27th AINSE Plasma Science Conference*(pp. 1-4). AIP.