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Series solutions for the Dirac equation in Kerr–Newman space-time

dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-10-30T03:30:22Z
dc.date.available2008-10-30T03:30:22Z
dc.date.issued1992-01
dc.identifier.citationKalnins, E.G. & Miller, W., Jr. (1992). Series solutions for the Dirac equation in Kerr–Newman space-time. Journal of Mathematical Physics,33, 286.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1207
dc.description.abstractThe Dirac equation is solved for an electron in a Kerr–Newman geometry using an adaptation of the procedure of Chandrasekhar. The corresponding eigenfunctions obtained can be represented as series of Jacobi polynomials. The spectrum of eigenvalues can be calculated using continued fraction techniques. Representations for the eigenvalues and eigenfunctions are obtained for various ranges of the parameters appearing in the Kerr–Newman metric. Some comments concerning the bag model of nucleons are made.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/33/286/1en_US
dc.rightsCopyright 1992 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.subjectDirac equationen_US
dc.subjectKerr metricen_US
dc.subjectspace&minusen_US
dc.subjecttimeen_US
dc.subjectgravitational fieldsen_US
dc.subjectblack holesen_US
dc.subjecteigenfunctionsen_US
dc.subjectpolynomialsen_US
dc.subjectcontinued fractionsen_US
dc.subjectrecursion relationsen_US
dc.subjectsymmetry groupsen_US
dc.subjectbag modelen_US
dc.subjectnucleonsen_US
dc.subjectspinorsen_US
dc.subjectelectromagnetic fieldsen_US
dc.subjectEinstein field equationsen_US
dc.subjectmatrix elementsen_US
dc.subjectanalytical solutionen_US
dc.subjectseries expansionen_US
dc.titleSeries solutions for the Dirac equation in Kerr–Newman space-timeen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.529963en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page286en_NZ
pubs.elements-id84098
pubs.end-page296en_NZ
pubs.issue1en_NZ
pubs.volume33en_NZ


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