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Spinor
(redirected from Spinors)

    Also found in: Wikipedia 0.01 sec.
spinor [′spin·ər]
(mathematics)
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 of spin ½.
More generally, a spinor of order (or rank)nis an object with 2ncomponents which transform as products of components ofnspinors of rank one.
A quantity with four complex components which transforms linearly under a Lorentz transformation 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 transformed frame; it is formed from two spinors (definition 1). Also known as Dirac spinor.
Spinor 

a mathematical quantity whose transformation from one coordinate system to another is governed by a special law. Spinors are used for various problems in, for example, quantum mechanics and representations of groups.
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Topics include orbifold cohomology of abelian symplectic reductions, generalized Kahler and hyper-Kahler quotients, pure spinors and moment maps, and locally noncommutative space-times.
Poisson geometry in mathematics and physics; proceedings by SciTech Book News
We mention that the general Lorentz transformation requires second order spinors [n.
Deformed surfaces in holographic interferometry. Similar aspects in ... by Schumann, Walter / Proceedings of the Estonian Academy of Sciences
Twistors, deriving from what are known as spinors, are abstract entities which may provide the structure of spacetime.
Theory of everything by Gardner, Martin / New Criterion
 
 
 
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