Text: [MATH] 1. A vector with two complex components, which undergoes a unitary unimodular transformation when the three-dimensional coordinate system is rotated; it can represent the spin state of a particle spin 1/2. 2. More generally, a spinor of order (or rank) n is an object with 2n components which transform as products of components of n spinors of rank one. 3. A quantity with four components which transform in such a way that if it is a solution of the Dirac equation in the original Lorentz frame it remains a solution of the Dirac equation in the transform frame; it is formed from two spinors (definition 1). Also known as Dirac spinor.

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