The following 32 pages are in this category, out of 32 total. This list may not reflect recent changes.

Spinori on matematiikassa ja fysiikassa esiintyvä eräiden kompleksisten vektoriavaruuksien elementti. Ryhmäteoreettisesti ajateltuna spinori on spin-ryhmän pienimmän esityksen vektori. …

Nov 9, 2023 · On Wikipedia they state: Although spinors can be defined purely as elements of a representation space of the spin group (or its Lie algebra of infinitesimal rotations), they are …

Media in category "Spinors" The following 14 files are in this category, out of 14 total.

In the domain of mathematics known as representation theory, pure spinors (or simple spinors) are spinors that are annihilated, under the Clifford algebra representation, by a maximal …

In the wikipedia article on spinors a number of mathematical definitions are given of spinors which I find slightly confusing. There are essentially two frameworks for viewing the notion of a …

Dec 19, 2022 · To understand what Dirac spinors are and why we need them, you need to understand where the Dirac equation comes from. Dirac in 1928 derived a relativistic wave …

Feb 9, 2018 · More formally, spinors can be defined as geometrical objects constructed from a given vector space endowed with an inner product by means of an algebraic or quantization …

In mathematics, the spinor concept as specialised to three dimensions can be treated by means of the traditional notions of dot product and cross product. This is part of the detailed algebraic …

In geometry and physics, spinors / s p ɪ n ɔːr / are elements of a vector space that can be associated with Euclidean space. Like geometric vectors and more general tensors, spinors …

Jan 19, 2024 · The elements of the space of the spinor representation are called spinors, and those of the space of the half-spinor representation half-spinors.

Discovered in 1913 by Cartan in his investigations of the representation theory of the orthogonal groups, spinors first appeared in physics in the 1920's in the guise of Pauli's spin matrices and …

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 …

In physics, and specifically in quantum field theory, a bispinor is a mathematical construction that is used to describe some of the fundamental particles of nature, including quarks and …

Sep 7, 2022 · Spinors are the appropriate mathematical objects to describe particles with spin 1/2, like, for example, electrons. "One could say that a spinor is the most basic sort of …

Spin structures have wide applications to mathematical physics, in particular to quantum field theory where they are an essential ingredient in the definition of any theory with uncharged …