Quantum numbers for Dirac spinor fields on a curved space-time
- 15 July 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 20 (2) , 409-413
- https://doi.org/10.1103/physrevd.20.409
Abstract
The most general first-order differential operator that commutes with the Dirac operator and hence permits the construction of quantum numbers is given. Necessary and sufficient conditions for its existence are expressed in terms of the generalized Killing tensors of Yano. As a special case we obtain an extension to curved space-time of a covariant description of spin.Keywords
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