theoretical physics, the spin tensor is a quantity used to describe the rotational motion of particles in spacetime. The spin tensor has application in general...
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Finite strain theory (redirect from Spin tensor (mechanics))
deformation tensors. In 1839, George Green introduced a deformation tensor known as the right Cauchy–Green deformation tensor or Green's deformation tensor (the...
50 KB (10,030 words) - 08:18, 26 May 2024
(electromagnetic tensor, Maxwell tensor, permittivity, magnetic susceptibility, ...), and general relativity (stress–energy tensor, curvature tensor, ...). In...
69 KB (9,354 words) - 18:12, 24 August 2024
vectors and tensors, a spinor transforms to its negative when the space rotates through 360° (see picture). It takes a rotation of 720° for a spinor to go back...
72 KB (9,924 words) - 08:41, 19 August 2024
stress-energy tensor The stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical quantity...
23 KB (3,997 words) - 16:35, 1 August 2024
{\displaystyle {\mathfrak {spin}}(n)} Spin tensor, a tensor quantity for describing spinning motion in special relativity and general relativity Spin (aerodynamics)...
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In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold...
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of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor theory...
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two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span V ⊗ W {\displaystyle V\otimes W} in the sense...
50 KB (8,651 words) - 19:03, 15 August 2024
mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the...
19 KB (2,904 words) - 22:21, 30 June 2024
electromagnetism, the electromagnetic tensor or electromagnetic field tensor (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a...
16 KB (2,787 words) - 00:47, 31 July 2024
mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multilinear...
11 KB (1,747 words) - 15:24, 19 July 2024
metric field on M consists of a metric tensor at each point p of M that varies smoothly with p. A metric tensor g is positive-definite if g(v, v) > 0 for...
56 KB (8,866 words) - 08:52, 9 August 2024
Moment of inertia (redirect from Moment of inertia tensor)
inertia tensor of a body calculated at its center of mass, and R {\displaystyle \mathbf {R} } be the displacement vector of the body. The inertia tensor of...
91 KB (17,259 words) - 03:43, 6 August 2024
and physics, a tensor field assigns a tensor to each point of a mathematical space (typically a Euclidean space or manifold). Tensor fields are used...
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differential geometry, the Einstein tensor (named after Albert Einstein; also known as the trace-reversed Ricci tensor) is used to express the curvature...
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graphics, a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which...
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Penrose graphical notation (redirect from Tensor diagram notation)
essentially the composition of functions. In the language of tensor algebra, a particular tensor is associated with a particular shape with many lines projecting...
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be related to the spin tensor. This canonical energy–momentum tensor is related to the more familiar symmetric energy–momentum tensor by the Belinfante–Rosenfeld...
23 KB (3,106 words) - 05:24, 18 May 2024
In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. In components...
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manifold M {\displaystyle M} and the metric tensor is given as a covariant, second-degree, symmetric tensor on M {\displaystyle M} , conventionally denoted...
15 KB (2,488 words) - 03:44, 27 August 2024
Angular momentum (redirect from Spin-down)
as an anti-symmetric second order tensor, with components ωij. The relation between the two anti-symmetric tensors is given by the moment of inertia which...
93 KB (13,467 words) - 16:28, 25 August 2024
of SU(2) Spin angular momentum of light Spin engineering Spin-flip Spin isomers of hydrogen Spin–orbit interaction Spin tensor Spintronics Spin wave Yrast...
72 KB (10,551 words) - 06:46, 30 July 2024
Pseudovector Spinor Tensor Tensor algebra, Free algebra Tensor contraction Symmetric algebra, Symmetric power Symmetric tensor Mixed tensor Pandey, Divyanshu;...
6 KB (661 words) - 02:59, 5 March 2024
Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann...
10 KB (1,742 words) - 17:55, 29 January 2024
differential geometry, a tensor density or relative tensor is a generalization of the tensor field concept. A tensor density transforms as a tensor field when passing...
22 KB (3,464 words) - 13:16, 28 May 2024
tensor is antisymmetric with respect to its first three indices. If a tensor changes sign under exchange of each pair of its indices, then the tensor...
5 KB (835 words) - 08:04, 2 July 2024
tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress tensor or simply stress tensor...
57 KB (8,314 words) - 09:18, 13 June 2024
Tensor networks or tensor network states are a class of variational wave functions used in the study of many-body quantum systems and fluids. Tensor networks...
7 KB (749 words) - 02:48, 1 August 2024
universal property of the tensor product of vector spaces extends to more general situations in abstract algebra. The tensor product of an algebra and...
48 KB (8,467 words) - 22:58, 6 April 2024