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

Journal Article · Wed Jan 01 00:00:00 EST 1992 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.529963· OSTI ID:5399207

Kalnins, E G ^[1]; Miller, W Jr ^[2]

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1. Department of Mathematics Statistics, University of Waikato, Hamilton (New Zealand)
2. Minnesota Univ., St. Paul, MN (United States). Inst. for Mathematics and Its Applications

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.

• OSTI ID: 5399207
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 33:1; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
ANALYTICAL SOLUTION
KERR METRIC
SERIES EXPANSION
BAG MODEL
BLACK HOLES
CONTINUED FRACTIONS
EIGENFUNCTIONS
EINSTEIN FIELD EQUATIONS
ELECTROMAGNETIC FIELDS
GRAVITATIONAL FIELDS
MATRIX ELEMENTS
NUCLEONS
POLYNOMIALS
RECURSION RELATIONS
SPACE-TIME
SPINORS
SYMMETRY GROUPS
BARYONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD EQUATIONS
FUNCTIONS
HADRONS
MATHEMATICAL MODELS
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
WAVE EQUATIONS
661320* - Auroral
Ionospheric
& Magnetospheric Phenomena- (1992-)