a spin structure on an orientable Riemannian manifold (M, g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in...

particle physics, nucleon spin structure describes the partonic structure of nucleon (proton and neutron) intrinsic angular momentum (spin). The key question...

direction; this is analogous to a crystal's lattice-based structure. The individual atomic bonds in a spin glass are a mixture of roughly equal numbers of ferromagnetic...

physics, spinors (pronounced "spinner" IPA /spɪnər/) are elements of a complex vector space that can be associated with Euclidean space. A spinor transforms...

a spin structure on an n {\displaystyle n} -dimensional orientable Riemannian manifold ( M , g ) , {\displaystyle (M,g),\,} one defines the spinor bundle...

-structure for the 2-fold cover Spin ( n ) → SO ( n ) {\displaystyle {\mbox{Spin}}(n)\to {\mbox{SO}}(n)} is a spin structure. (Note that the group homomorphism...

(non-existent) spin structures as calculation tool on (pseudo-)Riemannian manifolds: the spin group is the structure group of a spinor bundle. The affine...

In spin geometry, a spinᶜ structure (or complex spin structure) is a special classifying map that can exist for orientable manifolds. Such manifolds are...

mechanics, the spin–orbit interaction (also called spin–orbit effect or spin–orbit coupling) is a relativistic interaction of a particle's spin with its motion...

Commons has media related to Spin networks. Spin connection Spin structure Character variety Penrose graphical notation Spin foam String-net Trace diagram...

natural inhabitants of the spin structure are the Weyl spinors, in that the spin structure completely describes how the spinors behave under (Lorentz) boosts/rotations...

spin structure of an electron in a crystal lattice. In the equivalent wave picture of quantum mechanics, a magnon can be viewed as a quantized spin wave...

Spin is an intrinsic form of angular momentum carried by elementary particles, and thus by composite particles such as hadrons, atomic nuclei, and atoms...

theorem states that if a smooth, orientable, closed 4-manifold M has a spin structure (or, equivalently, the second Stiefel–Whitney class w 2 ( M ) {\displaystyle...

Structure The Spin Dr. is the stage name of DJ Jonathan DePrisco. He spent his early career as a resident DJ at large NYC nightclubs including Limelight...

else the Cayley plane F4/Spin(9); see (Brendle & Schoen 2008). The odd-dimensional projective spaces can be given a spin structure, the even-dimensional...

In spin geometry, a spinʰ structure (or quaternionic spin structure) is a special classifying map that can exist for orientable manifolds. Such manifolds...

Site-directed spin labeling (SDSL) is a technique for investigating the structure and local dynamics of proteins using electron spin resonance. The theory...

Hyperfine structure contrasts with fine structure, which results from the interaction between the magnetic moments associated with electron spin and the...

geometry, a metaplectic structure is the symplectic analog of spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic manifold...

In physics, the spin–spin relaxation is the mechanism by which Mxy, the transverse component of the magnetization vector, exponentially decays towards...

In atomic physics, the fine structure describes the splitting of the spectral lines of atoms due to electron spin and relativistic corrections to the...

the quarks and gluons carry the spin of protons? More unsolved problems in physics The proton spin crisis (or proton spin puzzle) is a theoretical crisis...

matrices Hypercomplex number Octonion Paravector Quaternion Spin group Spin structure Spinor Spinor bundle Also known as a geometric algebra (especially over...

that follows Fermi–Dirac statistics. Fermions have a half-integer spin (spin ⁠1/2⁠, spin ⁠3/2⁠, etc.) and obey the Pauli exclusion principle. These particles...

M is orientable and admits a spin structure. It follows that the existence of a G 2 {\displaystyle G_{2}} -structure is much weaker than the existence...

transform according to the spin group. Building a principle fiber bundle with the spin group as the fiber results in a spin structure. All that is missing in...

understand hadron structure by representing the parton distributions as functions of more variables, such as the transverse momentum and spin of the parton...

In physics, the topological structure of spinfoam or spin foam consists of two-dimensional faces representing a configuration required by functional integration...

the spin representations over the complex numbers first, and derive real representations by introducing real structures. The properties of the spin representations...