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A spin model is a mathematical model used in physics primarily to explain magnetism. Spin models may either be classical or quantum mechanical in nature. Spin models have been studied in quantum field theory as examples of integrable models. Spin models are also used in quantum information theory and computability theory in theoretical computer ...
A spin foam is a particular type of 2-complex, with labels for vertices, edges and faces. The boundary of a spin foam is a spin network, just as in the theory of manifolds, where the boundary of an n-manifold is an (n-1)-manifold. In loop quantum gravity, the present spin foam theory has been inspired by the work of Ponzano–Regge model.
Spin is an intrinsic form of angular momentum carried by elementary particles, and thus by composite particles such as hadrons, atomic nuclei, and atoms. [1] [2]: 183–184 Spin is quantized, and accurate models for the interaction with spin require relativistic quantum mechanics or quantum field theory.
Spin engineering in its generic sense became possible only after the first experimental characterization of spin in the Stern–Gerlach experiment in 1922 followed by the development of relativistic quantum mechanics by Paul Dirac. This theory was the first to accommodate the spin of the electron and its magnetic moment.
Spin network diagram, after Penrose. In physics, a spin network is a type of diagram which can be used to represent states and interactions between particles and fields in quantum mechanics. From a mathematical perspective, the diagrams are a concise way to represent multilinear functions and functions between representations of matrix groups ...
A spin structure for P SO (E) is a lift of P SO (E) to a principal bundle P Spin (E) under the action of the spin group Spin(n), by which we mean that there exists a bundle map : P Spin (E) → P SO (E) such that
In quantum mechanics, a triplet state, or spin triplet, is the quantum state of an object such as an electron, atom, or molecule, having a quantum spin S = 1. It has three allowed values of the spin's projection along a given axis m S = −1, 0, or +1, giving the name "triplet".
A double quantum dot. Each electron spin S L or S R define one quantum two-level system, or a spin qubit in the Loss-DiVincenzo proposal. A narrow gate between the two dots can modulate the coupling, allowing swap operations. The Loss–DiVicenzo quantum computer proposal tried to fulfill DiVincenzo's criteria for a scalable quantum computer ...