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pseudovector

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pseudovector
ˈpseudovector, n. and a. Math. and Physics. [f. pseudo- + vector.] A. n. A vector whose sign is unchanged when the signs of all its components are changed.1923 A. S. Eddington Math. Theory of Relativity vi. 179 Rµ is the pseudo-vector representing the displacement from the charge (ξ, η, ζ, τ) to the... Oxford English Dictionary
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Pseudovector
pseudovector. Similarly, one can show: polar vector × polar vector = pseudovector pseudovector × pseudovector = pseudovector polar vector × pseudovector = polar vector wikipedia.org
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Pseudovector meson
In high energy physics, a pseudovector meson or axial vector meson is a meson with total spin 1 and even parity (+) (usually noted as Compare to a vector meson, which has a total spin 1 and odd parity Charge parity (C) in addition to spatial parity (P) The known pseudovector mesons fall into two different wikipedia.org
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Vector surface integral - pseudovector? I'm teaching myself differential forms in relation to vector calculus. I understand that for a vector field $$\mathbf{v}\left(x,y,z\right)=f_{1}\hat{\mathbf{e}}_{x}+f_{2}\hat{\...
The definition of a pseudovector is that it changes sign when you change the orientation of the ambient space.
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Pauli–Lubanski pseudovector
In physics, the Pauli–Lubanski pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description See also Center of mass (relativistic) Wigner's classification Angular momentum operator Casimir operator Chirality Pseudovector Pseudotensor Induced representation wikipedia.org
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pseudovectors and covectors The cross product of two vectors, $\vec{c}=\vec{a}\times\vec{b}$, is sometimes characterized as a pseudovector or axial vector. On the other hand, if we look at the vectors $\vec{a}$ and $...
This paper is relevant; it shows that the Levi-Civita symbol becomes a tensor when multiplied by the square root of the modulus of the determinant of the metric tensor.
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Pseudoscalar
A pseudoscalar also results from any scalar product between a pseudovector and an ordinary vector. The dual of a pseudovector is an anti-symmetric tensor of order 2 (and vice versa). wikipedia.org
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Struggling with connection between Clifford Algebra (/GA) and their matrix generators As I thought I understood things, the Gamma matricies behave as the 4 orthogonal unit vectors of the Clifford algebra $\mathcal{Cl}...
Those formulas for dot and wedge product are only valid when $A$ and $B$ are vectors, not if they are bivectors, trivectors, etc.
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True vector
True vector may refer to: A polar vector, one that is not a pseudovector (or axial vector). wikipedia.org
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赝矢量（Pseudovector）与赝标量（Pseudoscalar） - 知乎
举个例子，赝标量就是混合积的结果，混合积的物理意义是，三个矢量所定义的六面体的体积，也就是说它具有体积的量纲，即长度量纲的三次方。以前我们习惯性地把赝标量当成标量，从量纲的角度看是不太合适的。 下面摘录一些书籍对赝矢量和赝标量的讨论。
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How do you express the covariant cross product? If the covariant cross product is given by $\mathbf{AxB}= \varepsilon^{ijk}A_{j}B_{k}$, then the Levi-Civita tensor must transform contravariantly for the indices to con...
The cross product is not a vector but instead a pseudovector.
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Vector meson
flavors, whereas pseudovector mesons and scalar mesons tend to be expressed as composites of mixed states. Pseudovector mesons transition by a similar process into pseudoscalar mesons. wikipedia.org
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Galilei-covariant tensor formulation
The third Casimir invariant is given by , where is a 5-dimensional analog of the Pauli–Lubanski pseudovector. See also Galilean group Representation theory of the Galilean group Lorentz group Poincaré group Pauli–Lubanski pseudovector References Theoretical wikipedia.org
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Cartesian tensor
Note the cross product of two vectors is a pseudovector, while the cross product of a pseudovector with a vector is another vector. of can be found by inspection, and they are: so the pseudovector can be written as an antisymmetric tensor. wikipedia.org
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Relativistic angular momentum
It is a 3d pseudovector like orbital angular momentum L. The Pauli–Lubanski pseudovector The Pauli–Lubanski pseudovector applies to both massive and massless particles. wikipedia.org
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