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1. Spinor: In geometry and physics, spinors /spɪnər/ are elements of a complex number-based vector space that can be associated with Euclidean space. A spinor transforms linearly when the Euclidean space is subjected to a slight (infinitesimal) rotation, but unlike geometric ... (Non-tensorial representation of the spin group) [100%] 2023-12-22 [Spinors] [Rotation in three dimensions]...
2. Spinor: An element of a spinor representation space. For example, if $Q$ is a non-degenerate quadratic form on an $n$-dimensional space $V$ over a field $k$ with maximal Witt index $m=[n/2]$ (the latter condition always holds when ... (Mathematics) [100%] 2023-11-28
3. Spinor: In geometry and physics, spinors /spɪnər/ 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 (infinitesimal ... (Physics) [100%] 2023-01-16 [Spinors] [Rotation in three dimensions]...
4. Spinor structure: on an $ n $- dimensional manifold $ M $, fibration of spin-frames A principal fibre bundle $ \widetilde \pi : \widetilde{P} \rightarrow M $ over $ M $ with structure group $ \mathop{\rm Spin} _ {n} $( see Spinor group), covering some principal fibre bundle $ \pi : P ... (Mathematics) [70%] 2024-01-12
5. Spinor representation: spin representation The simplest faithful linear representation (cf. Faithful representation; Linear representation) of the spinor group $ \mathop{\rm Spin} _ {n} ( Q) $, or the linear representation of the corresponding even Clifford algebra $ C ^ {+} = C ^ {+} ( Q) $( see Spinor group; $ Q $ is ... (Mathematics) [70%] 2023-10-18
6. Spinor group: The spinor group or spin group is associated to a non-degenerate quadratic form $Q$ on an $n$-dimensional vector space $V$ ($n\ge 3$) over a field $k$. It is a connected linear algebraic group which is the simply ... (Mathematics) [70%] 2023-10-12
7. Spinor condensate: Spinor condensates are degenerate Bose gases that have degrees of freedom arising from the internal spin of the constituent particles . They are described by a multi-component (spinor) order parameter. (Physics) [70%] 2022-12-07 [Bose–Einstein condensates] [Exotic matter]...
8. Spinor condensate: Spinor condensates are degenerate Bose gases that have degrees of freedom arising from the internal spin of the constituent particles . They are described by a multi-component (spinor) order parameter. [70%] 2024-01-03 [Bose–Einstein condensates] [Exotic matter]...
9. Spinor bundle: In differential geometry, given a spin structure on an \displaystyle{ n }[/math]-dimensional orientable Riemannian manifold \displaystyle{ (M, g),\, }[/math] one defines the spinor bundle to be the complex vector bundle \displaystyle{ \pi_{\mathbf S}\colon{\mathbf S}\to M ... [70%] 2023-12-23 [Algebraic topology] [Riemannian geometry]...
10. Spinor field: In differential geometry, given a spin structure on an n-dimensional orientable Riemannian manifold (M, g), a section of the spinor bundle S is called a spinor field. A spinor bundle is the complex vector bundle \displaystyle{ \pi_{\mathbf S ... (Physics) [70%] 2023-12-29 [Riemannian geometry] [Structures on manifolds]...