In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under continuous rigid transformations such as...

In high energy physics, a pseudovector meson or axial vector meson is a meson with total spin 1 and even parity (+) (usually noted as J P = 1+ ). Compare...

over a line. In more advanced treatments, one further distinguishes pseudovector fields and pseudoscalar fields, which are identical to vector fields...

Greek letter omega), also known as the angular frequency vector, is a pseudovector representation of how the angular position or orientation of an object...

not. A pseudoscalar, when multiplied by an ordinary vector, becomes a pseudovector (or axial vector); a similar construction creates the pseudotensor. A...

mesons contrast with the pseudovector mesons, which also have a total spin 1 but instead have even parity. The vector and pseudovector mesons are also dissimilar...

transform in a similar way under changes of the coordinate system include pseudovectors and tensors. The vector concept, as it is known today, is the result...

A pseudovector boson is a vector boson that has even parity, whereas "regular" vector bosons have odd parity. There are no fundamental pseudovector bosons...

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase...

In physics, the Pauli–Lubanski pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description...

decreases counterclockwise. In three dimensions, angular acceleration is a pseudovector. In two dimensions, the orbital angular acceleration is the rate at which...

waves). Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity. Angular frequency can be obtained multiplying...

Due to the dependence on handedness, the cross product is said to be a pseudovector. In connection with the cross product, the exterior product of vectors...

W_{\mu }W^{\mu }} where W μ {\textstyle W_{\mu }} is the Pauli–Lubanski pseudovector; they serve as labels for the representations of the group. The Poincaré...

quantity of magnetic moment per unit volume. It is represented by a pseudovector M. Magnetization can be compared to electric polarization, which is the...

around which it is being determined. In three dimensions, the torque is a pseudovector; for point particles, it is given by the cross product of the displacement...

angular momentum for a point particle is classically represented as a pseudovector r × p, the cross product of the particle's position vector r (relative...

In continuum mechanics, vorticity is a pseudovector (or axial vector) field that describes the local spinning motion of a continuum near some point (the...

product of tangent vectors (as described in the text above), it is a pseudovector. When applying a transform to a surface it is often useful to derive...

proper rotation followed by reflection. This is a generalization of a pseudovector. To evaluate a tensor or pseudotensor sign, it has to be contracted with...

momentum is the cross product of position x with momentum p to obtain a pseudovector x × p, or alternatively as the exterior product to obtain a second order...

the magnetic field transforms under mirror reflection—as a field of pseudovectors. In electromagnetics, the term "magnetic field" is used for two distinct...

another. Note the cross product of two vectors is a pseudovector, while the cross product of a pseudovector with a vector is another vector. Other identities...

meaning.) In mathematics, a rotating body is commonly represented by a pseudovector along the axis of rotation. The length of the vector gives the speed...

The rate of change of angular velocity. In three dimensions, it is a pseudovector. In SI units, it is measured in radians per second squared (rad/s2),...

the rate of change of angular velocity. In three dimensions, it is a pseudovector. In SI units, it is measured in radians per second squared (rad/s2),...

the electric field, E, a vector field, and the magnetic field, B, a pseudovector field, each generally having a time and location dependence. The sources...

Although the magnetic field, B {\displaystyle \mathbf {B} } , is a pseudovector (also called axial vector), the vector potential, A {\displaystyle \mathbf...

{\displaystyle ~C_{2}=W^{\alpha }\,W_{\alpha }~,} where W is the Pauli–Lubanski pseudovector. The eigenvalues of these operators serve to label the representations...

vector to each point of space, called a vector field (more precisely, a pseudovector field). In electromagnetics, the term magnetic field is used for two...