Resumen

SOBCZYK, G.. Geometry of spin ½ particles. Rev. mex. fis. [online]. 2015, vol.61, n.3, pp.211-223. ISSN 0035-001X.

The geometric algebras of space and spacetime are derived by sucessively extending the real number system to include new mutually anticommuting square roots of ±1. The quantum mechanics of spin 1/2 particles are then expressed in these geometric algebras. Classical 2 and 4 component spinors are represented by geometric numbers which have parity, providing new insight into the familiar bra-ket formalism of Dirac. The classical Dirac Equation is shown to be equivalent to the Dirac-Hestenes equation, so long as the issue of parity is not taken into consideration, the latter quantity being constructed in such a way that it is parity invarient.

Palabras llave : Bra-ket formalism; geometric algebra; spacetime algebra; Schrödinger-Pauli equation; Dirac equation; Dirac-Hestenes equation; spinor; spinor operator.

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