The Properties of Eigenstates in Weak Gravity

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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 languageEnglish
Title of host publicationAIP 18th National Congress
Subtitle of host publicationincorporating the 27th AINSE Plasma Science Conference
Place of PublicationAustralia
PublisherAIP
Pages1-4
Number of pages4
Publication statusPublished - 2008
EventAustralian Institute of Physics Congress - Adelaide, S.A., Australia
Duration: 30 Nov 200805 Dec 2008

Conference

ConferenceAustralian Institute of Physics Congress
CountryAustralia
Period30/11/0805/12/08

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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.