In geometry and physics, spinors are elements of a complex vector space that can be associated with Euclidean space. Like geometric vectors and more general tensors, spinors transform linearly when the Euclidean space is subjected to a slight rotation.

What is Pauli spinor?

Spinors of the Pauli spin matrices

The Pauli matrices are a vector of three 2×2 matrices that are used as spin operators. ... The eigenvectors of that spin matrix are the spinors for spin-1/2 oriented in the direction given by the vector.

What is spinor notation?

In theoretical physics, Van der Waerden notation refers to the usage of two-component spinors (Weyl spinors) in four spacetime dimensions. This is standard in twistor theory and supersymmetry. It is named after Bartel Leendert van der Waerden.