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) n is an object with 2 n components which transform as products of components of n spinors 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Physicists will be able to study the properties of the material-bound particles to explore the possibility that free-floating varieties of Weyl fermions exist.
But at least in theory, there are two other kinds of fermions, both proposed soon afterward: Majorana fermions and Weyl fermions. Unlike Dirac and Majorana fermions, members of the Weyl class--named after German mathematician and physicist Hermann Weyl--are massless.
Physicists have failed to discover Weyl fermions in any particle detector or accelerator.
Only a couple of days after the confirmation of the pentaquark, the scientific world was jolted again by discovery of the Weyl fermion. A fermion is a classification of subatomic particles that have a specific spin.
The unique properties of the Weyl fermion might open up new doors into faster and more efficient computers.
The newly predicted type-2 Weyl fermion has a thermodynamic number of states in which it can reside at zero energy -- it has what is called a Fermi surface.
Three of these quasiparticles, the Dirac, Majorana, and Weyl fermions, were discovered in such materials, despite the fact that the latter two had long been elusive in experiments, opening the path to simulate certain predictions of quantum field theory in relatively inexpensive and small-scale experiments carried out in these "condensed matter" crystals.
Only a couple of days after the confirmation of the pentaquark, the scientific world was jolted again by the discovery of the Weyl fermion. A fermion is a classification of subatomic particles that have a specific spin.
The unique properties of the Weyl fermion might open up new doors to faster and more efficient computers.
We have also made explicit only the first component of the Weyl fermions, hence the index 1 on all of them, and the second components can be obtained simply by replacing [[??].sub.i] with [[??].sub.2].