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spinor |
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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. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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Therefore, says Hestenes, it is well qualified to handle the many directed quantities in physics in a very natural way, including the complicated ones called spinors, which other mathematical languages that have been used cannot handle. |
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