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

E. G. Kalnins | Zendy; Willard Miller | Zendy

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

Author(s) -

E. G. Kalnins,

Willard Miller

Publication year - 1992

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.529963

Subject(s) - eigenfunction , dirac equation , eigenvalues and eigenvectors , mathematics , mathematical physics , chandrasekhar limit , mathematical analysis , series (stratigraphy) , spectrum (functional analysis) , two body dirac equations , dirac algebra , dirac (video compression format) , physics , quantum mechanics , stars , astronomy , biology , white dwarf , paleontology , neutrino

The 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

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