Nucleus as a source in Kerr-Newman geometry

Journal Article · Thu Jan 01 04:00:00 EST 1987 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.35.14· OSTI ID:6734036

Pekeris, C L

The nucleus is treated as a source in Kerr-Newman geometry, under the assumption that the angular momentum of the source is equal to the intrinsic spin angular momentum of the nucleus. The spin radius a of the nucleus, which figures in the Kerr-Newman metric, is of the order of the Compton wavelength of the nucleus. The radial functions in Chandrasekhar's separated Dirac equation in Kerr geometry, are transformed so as to yield a pair of simultaneous first-order differential equations with real coefficients, as in flat space. The magnetic quantum number m appears explicitly in the differential equations, thus lifting the hyperfine splitting degeneracy of Dirac's equation in flat space.

• Research Organization: Department of Applied Mathematics, The Weizmann Institute, Rehovot, Israel
• OSTI ID: 6734036
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 35:1; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ATOMS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
KERR METRIC
METRICS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
SCHWARZSCHILD RADIUS
SPACE-TIME
SPECTRA
SPIN
WAVE EQUATIONS