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pseudoscalar

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pseudoscalar
ˈpseudoscalar, n. and a. Math. and Physics. [f. pseudo- + scalar a. and n.] A. n. a. A quantity that transforms as a scalar under rotation but changes sign under reflection. b. A sub-atomic particle whose wave function is such a quantity, the particle having zero spin and odd parity.1938 N. Kemmer i... Oxford English Dictionary
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Pseudoscalar
In physics In physics, a pseudoscalar denotes a physical quantity analogous to a scalar. Examples are pseudoscalar mesons. In geometric algebra A pseudoscalar in a geometric algebra is a highest-grade element of the algebra. wikipedia.org
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Pseudoscalar meson
In high-energy physics, a pseudoscalar meson is a meson with total spin 0 and odd parity (usually notated as Pseudoscalar mesons are commonly seen in Gell-Mann further predicted the existence of a ninth resonance in the pseudoscalar multiplet, which he originally called . wikipedia.org
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Derivative of pseudoscalar Hello I have a short question about psuedoscalars. I read that the angular velocity $\omega$ for two dimensional problems in physics is a pseudoscalar, meaning it is an orientation with valu...
Quantities which are pseudoscalars change sign under parity inversion (i.e. changing the sign of one coordinate). It does not mean that $\omega$ can only be one or minus one. Therefore, its derivative does not have to be zero. Note that we could very well represent it by a vector, but one which has ...
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Scalar boson
A pseudoscalar boson is a scalar boson that has odd parity, whereas "regular" scalar bosons have even parity. Pseudoscalar There are no fundamental pseudoscalars in the Standard Model, but there are pseudoscalar mesons, like the pion. wikipedia.org
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Geometric Algebra Question Show that in 3D any pair of bivectors A and B have a common factor u such that A = au and B = bu. (a, b, u vectors -- au and bu are the geometric product) The only thing I can think of is t...
Let $A = im$ and $B = in$ for two vectors $m, n$. Then $C = m \wedge n$ is another bivector, and its dual $c = iC$ is a vector common to both $A$ and $B$: $$A \wedge c = (im) \wedge [i(m \wedge n)] = i(m \cdot [i(m \wedge n)]) = -(m \wedge m \wedge n) = 0$$ and similarly for $B$. Incidentally, $C = ...
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Scalar
element of a number field such as a real number Lorentz scalar, a quantity in the theory of relativity which is invariant under a Lorentz transformation Pseudoscalar wikipedia.org
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Show that $ B \mathbf I = (-1)^{k(n-1)}\mathbf I B $ where $B$ is a $k$-vector in $n$ dimensional space and $ \mathbf I $ is the pseudoscalar.
I don't quite recall how Macdonald defines a blade, but Hestenes has a quite useful definition: a $k$-blade is composed of $k$ orthogonal vectors in a geometric product. So $B = b_1 b_2 \ldots b_k$ where $b_i b_j = -b_j b_i$ for any $i \neq j \in 1, 2, \ldots, k$. Similarly, the psedoscalar $I$ shou...
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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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axion
axion Particle Physics. (ˈæksɪɒn) [f. axial a. + -on1.] A neutral pseudoscalar boson with very small mass that is the quantum of a field postulated as accounting for the fact that charge-parity symmetry is rarely broken.1978 S. Weinberg in Physical Rev. Lett. XL. 223/2 A very light pseudoscalar pseu... Oxford English Dictionary
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Primakoff effect
In particle physics, the Primakoff effect, named after Henry Primakoff, is the resonant production of neutral pseudoscalar mesons by high-energy photons wikipedia.org
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伪标量
在物理学中，伪标量表示类似于标量的 物理量。两者都是物理量，它们假定一个值在适当的旋转下是不变的。然而，在奇偶变换下，伪标量会翻转它们的符号，而标量则不会。由于通过平面的反射是旋转与奇偶变换的组合，因此伪标量在反射下也会改变符号。
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Universal geometric algebra
A vector manifold is characterized by its pseudoscalar. The pseudoscalar can be interpreted as a tangent oriented -plane segment of unit area. The unit pseudoscalar of the vector manifold is a (pseudoscalar-valued) function of the points on the vector manifold. wikipedia.org
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Is the determinant a scalar? **Note** : by _scalar_ , I am referring to the notion which is very commonly mentioned in tensor algebra (scalar = 0-order tensor); I do not have a definition, so please share it if you ha...
No, the determinant is a _pseudoscalar_: not a differential form of degree zero, but of top degree.
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Vector meson
These nearly pure states characteristic of the vector mesons are not at all evident in the pseudoscalar meson or scalar meson multiplets, and may be only Pseudovector mesons transition by a similar process into pseudoscalar mesons. wikipedia.org
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