Spinors

relativistic quantum mechanical wave equation

thumb|upright=1.5|A spinor visualized as a vector pointing along the Möbius band, exhibiting a sign inversion when the circle (the "physical system") is continuously rotated through a full turn of 360°.

matrix representation of a Clifford algebra

relativistic wave equation

mathematical group which is the double cover of the special orthogonal group SO(n)

2^{⌊n/2⌋}-dimensional complex representation of the spin group Spin(n)

mathematical notation used in quantum field theory for contractions with the Dirac gamma matrices

relativistic wave equation describing the propagation of a free spin 1½ particle

type of quantum field

dual to the Dirac spinor