Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprb17021l&link_type=abstract
American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As
Astronomy and Astrophysics
Astrophysics
Scientific paper
A definition, consisting of a system of axioms, introduces the Dirac spinor space and the four fundamental operations acting on this space: chirality, adjoint, symplectic transpose, and charge conjugation. The last three of these operations also act on linear transformations on the spinor space. The "Γ-Space" is defined as the set of all linear transformations on the spinor space which anticommute with the chirality operation, are self adjoint, and are pure imaginary under charge conjugation. The inner product in this space is one fourth the trace of the product. The "Γ-Space" is a real linear space, and can be proved to be isomorphic to Minkowski space. Each ordered orthogonal, normalized basis, γ ^0, γ ^1, γ ^2, γ ^3, of the "Γ-Space" is one of the equivalent sets of four Dirac gamma transformations. >From the few essential properties assumed in the above definitions, all other properties possessed by spinors, the fundamental operations, and the elements of the "Γ-Space" can be proved, e.g., the anticommutation relations of any set of four Dirac gamma transformations, and the property that i times their product (i.e., γ ^5) equals the previously defined chirality operator.
No associations
LandOfFree
The Dirac Spinors Presented Axiomatically does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Dirac Spinors Presented Axiomatically, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dirac Spinors Presented Axiomatically will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1535189