In geometry and physics, spinors (pronounced "spinner" IPA / spɪnər /) are elements of a complex number -based vector space that can be associated with Euclidean space.
In quantum field theory, the Dirac spinor is the spinor that describes all known fundamental particles that are fermions, with the possible exception of neutrinos.
When students ask what exactly is a spinor, they invariably hear that it’s something like the ‘‘square root’’ of a vector, a two-component vector-like object that has special transformation …
Dec 13, 2013 · We introduce spinors, at a level appropriate for an undergraduate or first year graduate course on relativity, astrophysics or particle physics. The treatment assumes very …
spinor concept. According to Euler’s theorem any displacement of a rigid body fixed at a point O is equivalent to a rotation around an axis through O. (See [Whi64], page 2.) This theorem …
Spinor basics i. A \spinor" is essentially a mathematical tool. ii. A rank 1 spinor is very much like a 4-vector; (a rank 2 spinor is like a tensor). iii. Spinors are used in quantum as well as classical …
Suppose that we have a left handed spinor uL(p) that satisfies the Weyl equation. We We can use it to construct a spinor that satisfies the Weyl equation for the right-handed spinor.
Jan 21, 2021 · Bass ackwards, starting from something inherently bosonic to get to something fermionic. As pointed out by John Conway, each of the normed division algebras is a spinor …
Dec 13, 2013 · Lorentz transformation, chirality, and the spinor Minkowski metric are introduced. Applications to electromagnetism, parity violation, and to Dirac spinors are presented.
Oct 17, 2014 · Spinors were first studied in 1913 by E. Cartan in his investigations of the theory of representations of topological groups, and were taken up again in 1929 by B.L. van der …