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Longer titles found: Bivector (complex) (view)

searching for Bivector 25 found (88 total)

alternate case: bivector

Poisson manifold (9,159 words) [view diff] exact match in snippet view article find links to article

bracket of the coordinate functions. A Poisson bivector on a smooth manifold M {\displaystyle M} is a bivector field π ∈ X 2 ( M ) := Γ ( ∧ 2 T M ) {\displaystyle

Electromagnetic tensor (2,790 words) [view diff] exact match in snippet view article find links to article

(sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime

List of physical quantities (187 words) [view diff] exact match in snippet view article find links to article

bivector Angular velocity ω The angle incremented in a plane by a segment connecting an object and a reference point per unit time rad/s T−1 bivector

Fierz identity (913 words) [view diff] exact match in snippet view article find links to article

algebra[further explanation needed]. When working in 4 spacetime dimensions the bivector ψ χ ¯ {\displaystyle \psi {\bar {\chi }}} may be decomposed in terms of

Lie bialgebra (953 words) [view diff] exact match in snippet view article find links to article

\eta } be the Poisson bivector on the manifold, define η R {\displaystyle \eta ^{R}} to be the right-translate of the bivector to the identity element

Chasles' theorem (kinematics) (1,269 words) [view diff] exact match in snippet view article

rotation satisfying B 2 2 = − 1 {\displaystyle B_{2}^{2}=-1} . The two bivector lines B 1 {\displaystyle B_{1}} and B 2 {\displaystyle B_{2}} are orthogonal

Moyal product (1,478 words) [view diff] exact match in snippet view article find links to article

dimension 2n). To provide an explicit formula, consider a constant Poisson bivector Π on R 2 n {\displaystyle \mathbb {R} ^{2n}} : Π = ∑ i , j Π i j ∂ i ∧

Conformal geometric algebra (3,304 words) [view diff] exact match in snippet view article find links to article

Euclidean space are: a scalar: the empty set a vector: a single point a bivector: a pair of points a trivector: a generalized circle a 4-vector: a generalized

Poisson algebra (698 words) [view diff] exact match in snippet view article find links to article

manifolds, which generalize symplectic manifolds by allowing the symplectic bivector to be rank deficient. The tensor algebra of a Lie algebra has a Poisson

Wigner–Weyl transform (3,168 words) [view diff] exact match in snippet view article find links to article

{i\hbar }{2}}\right)^{n}\Pi ^{n}(f_{1},f_{2}).} Here, Π is the Poisson bivector, an operator defined such that its powers are Π 0 ( f 1 , f 2 ) = f 1 f

Valentine Bargmann (1,026 words) [view diff] exact match in snippet view article find links to article

(Pasadena, California Institute of Technology). 1944: With A. Einstein. "Bivector fields". Ann. Math. 45:1-14. 1945: "On the glancing reflection of shock

Kontsevich quantization formula (1,171 words) [view diff] exact match in snippet view article find links to article

and g stand for smooth functions on the manifold, and Π is the Poisson bivector of the Poisson manifold. The term for the example graph is Π i 2 j 2 ∂

Paravector (4,436 words) [view diff] exact match in snippet view article find links to article

1 {\displaystyle 1^{\dagger }=1} On the other hand, the trivector and bivectors change sign under reversion conjugation and are said to be purely imaginary

Poisson–Lie group (1,124 words) [view diff] exact match in snippet view article find links to article

If P {\displaystyle {\mathcal {P}}} denotes the corresponding Poisson bivector on G {\displaystyle G} , the condition above can be equivalently stated

Mathematical descriptions of the electromagnetic field (6,736 words) [view diff] exact match in snippet view article find links to article

\nabla =\gamma ^{\mu }\partial _{\mu }.} The Riemann–Silberstein becomes a bivector F = E + I c B = E 1 γ 1 γ 0 + E 2 γ 2 γ 0 + E 3 γ 3 γ 0 − c ( B 1 γ 2 γ

Torsion tensor (4,356 words) [view diff] exact match in snippet view article find links to article

with sides v , w ∈ T p M {\displaystyle v,w\in T_{p}M} . Then the tangent bivector to the parallelogram is v ∧ w ∈ Λ 2 T p M {\displaystyle v\wedge w\in \Lambda

Courant algebroid (1,374 words) [view diff] exact match in snippet view article find links to article

e. a presymplectic structure. A second class of examples arises from bivectors Π ∈ Γ ( ∧ 2 T M ) {\displaystyle \Pi \in \Gamma (\wedge ^{2}TM)} whose

Hyperboloid (2,624 words) [view diff] exact match in snippet view article find links to article

the equation of the unit sphere ρ2 + 1 = 0, and change the vector ρ to a bivector form, such as σ + τ √−1. The equation of the sphere then breaks up into

Differential geometry (5,896 words) [view diff] exact match in snippet view article find links to article

and intrinsic geometry of a manifold can be characterized by a single bivector-valued one-form called the shape operator. Below are some examples of how

List of things named after James Clerk Maxwell (922 words) [view diff] exact match in snippet view article find links to article

Maxwell–Wagner–Sillars polarization Maxwell–Wien bridge, see Maxwell bridge Maxwell bivector Maxwell bridge Maxwell coil Maxwell displacement current Maxwell's equations

Mathematics of general relativity (7,038 words) [view diff] exact match in snippet view article find links to article

set of all such tensors - often called bivectors - forms a vector space of dimension 6, sometimes called bivector space. The metric tensor is a central

Trouton–Noble experiment (3,771 words) [view diff] exact match in snippet view article find links to article

Formulation of Electromagnetism with Only One Axiom: The Field Equation for the Bivector Field F with an Explanation of the Trouton-Noble Experiment". Foundations

Clifford algebra (9,161 words) [view diff] exact match in snippet view article find links to article

Pertti (1993), Z. Oziewicz; B. Jancewicz; A. Borowiec (eds.), "What is a bivector?", Spinors, Twistors, Clifford Algebras and Quantum Deformations, Fundamental

List of scientific publications by Albert Einstein (4,126 words) [view diff] exact match in snippet view article find links to article

Schilpp 295 1944 Bivector fields, I Annals of mathematics (ser. 2), 45, 1–14 Mathematics. Co-authored with V. Bargmann. Schilpp 296 1944 Bivector fields, II

List of Latin verbs with English derivatives (126 words) [view diff] exact match in snippet view article find links to article

– vehō veh- vex- vect- carry advect, advection, advective, biconvex, bivector, circumvection, convect, convection, convective, convector, convex, convexity