Generalized total angular momentum operator for the Dirac equation in curved space-time
Journal Article
·
· Phys. Rev., D; (United States)
It is found that an operator of the form i..gamma../sub 5/..gamma../sup ..mu../(f/sub ..mu..//sup ..nu../del/sub ..nu../ - 1/6..gamma../sup ..nu../..gamma../sup p/f/sub munu(p/) commutes with the Dirac operator ..gamma../sup ..mu../del/sub ..nu../ whenever f/sub munu/ is an antisymmetric tensor satisfying the Penrose-Floyd equation f/sub ..mu..//sub( nu(p/) = 0. Such a tensor exists notably in the Kerr solutions and in the flat-space limit wherein the operator can be interpreted as the square root of the ordinary total squared angular momentum Casimir operator of the rotation group.
- Research Organization:
- Groupe d'Astrophysique Relativiste, Observatoire de Paris, Meudon, France
- OSTI ID:
- 6205604
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM OPERATORS
BLACK HOLES
CASIMIR OPERATORS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DIRAC OPERATORS
EQUATIONS
KERR METRIC
MATHEMATICAL OPERATORS
METRICS
QUANTUM OPERATORS
SPACE-TIME
SPINORS
VACUUM STATES
WAVE EQUATIONS
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM OPERATORS
BLACK HOLES
CASIMIR OPERATORS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DIRAC OPERATORS
EQUATIONS
KERR METRIC
MATHEMATICAL OPERATORS
METRICS
QUANTUM OPERATORS
SPACE-TIME
SPINORS
VACUUM STATES
WAVE EQUATIONS