spinor
Noun
Meaning
spinor (plural spinors)
(algebra) An element of the fundamental representation of a Clifford algebra that transforms to its negative when the space is rotated through a complete turn from 0° to 360°
Anagrams
Examples
By acting on the spinor ξ in (1), the action of Γ goes over to an action on Pythagorean triples, provided one allows for triples with possibly negative components.
In the physics literature, abstract spinor indices are often used to denote spinors even when an abstract spinor construction is used.
In this situation, a spinor These are the right-handed Weyl spinors in two dimensions.
Attempts at intuitive understanding The spinor can be described, in simple terms, as “vectors of a space the transformations of which are related in a particular way to rotations in physical space”.
In addition, sometimes the non-complexified version of Cℓ p,q (R) has a smaller real representation, the Majorana spinor representation.
In this construction a spinor can be represented as a vector of 2 k complex numbers and is denoted with spinor indices (usually α, β, γ).