@article{article_701706, title={Spin 1 Spinor Construction with Clifford Algera and Dirac Spin 1/2 Spinors}, journal={Journal of the Institute of Science and Technology}, volume={10}, pages={1683–1691}, year={2020}, DOI={10.21597/jist.701706}, author={An, Murat}, keywords={Clifford Algebra, Spinors, Spin}, abstract={A compatible spin 1 spinor representation with Clifford algebra (1,3) (or 1,3 Cl ) is derived
for both (1 / 2,1 / 2) and (1, 0) (0,1)  Lorentz group representations with spin 1/2 particles Dirac spinors
in 1,3 Cl . The relation between the two different representations of spin 1 spinors is analogous to the
relation between the electromagnetic vector potential field A and the electromagnetic field strength
tensor F  . From this relationship, the two representations are combined by the formula
u( p, )  ( p, )  p / m. We also note that the Grassmann basis provides more convenient basis for
spin 1 spinors especially in chiral representations of (1, 0) (0,1)  , even though the Clifford basis is more
fitting for spin 1/2 and (1/ 2,1/ 2) spinor representations for both helicity and handedness.}, number={3}, publisher={Iğdır Üniversitesi}