It is these properties of and under that motivate the terms " vector " for and pseudovector or " axial vector " for.
12.
A vector which gains a minus sign when the orientation of space changes is called a " pseudovector " or an " axial vector ".
13.
Pseudovector, or axial vector, mesons in the 1 + & minus; channel may most readily be seen in proton-antiproton annihilation and pion-nucleon scattering.
14.
Comparing to the case of the charge dipole above a flat conducting surface, the mirrored magnetization vector can be thought as due to an additional sign change of an axial vector.
15.
If one reverses the orientation, then the formula above becomes, i . e ., a unit is replaced with the conjugate quaternion the same behaviour as of axial vectors.
16.
However, the six component angular momentum tensor is sometimes called a bivector because in the 3D viewpoint it is two vectors ( one of these, the conventional angular momentum, being an axial vector ).
17.
Applied to three dimensions, the Hodge dual provides an isomorphism between axial vectors and bivectors, so each axial vector "'a "'is associated with a bivector and vice versa, that is:
18.
Applied to three dimensions, the Hodge dual provides an isomorphism between axial vectors and bivectors, so each axial vector "'a "'is associated with a bivector and vice versa, that is:
19.
In 1957, he and George Sudarshan proposed a V-A ( " vector " minus " axial vector " ) Lagrangian for weak interactions, which was later presented by Richard Feynman and Murray Gell-Mann.
20.
There is a mysterious relationship between the strong interaction coupling of the pions to the nucleons, the coefficient in the gradient coupling model, and the axial vector current coefficient of the nucleon which determines the weak decay rate of the neutron.
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