Kalnins, Ernie G.Miller, W., Jr.2008-10-302008-10-301992-01Kalnins, E.G. & Miller, W., Jr. (1992). Series solutions for the Dirac equation in Kerr–Newman space-time. Journal of Mathematical Physics,33, 286.0022-2488https://hdl.handle.net/10289/1207The 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.application/pdfenCopyright 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.jspMathematicsDirac equationKerr metricspace&minustimegravitational fieldsblack holeseigenfunctionspolynomialscontinued fractionsrecursion relationssymmetry groupsbag modelnucleonsspinorselectromagnetic fieldsEinstein field equationsmatrix elementsanalytical solutionseries expansionJournal Article10.1063/1.529963