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The position and current at any point in the wire are "true" vectors, but the magnetic field B is a pseudovector. [1] In physics and mathematics, a pseudovector (or axial vector) [2] is a quantity that behaves like a vector in many situations, but its direction does not conform when the object is rigidly transformed by rotation, translation ...
In physics, the Pauli–Lubanski pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description of angular momentum. It is named after Wolfgang Pauli and Józef Lubański. [1] It describes the spin states of moving particles. [2]
In physics, angular velocity (symbol ω or , the lowercase Greek letter omega), also known as the angular frequency vector, [1] is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction.
The pseudovector may be a simpler representation of that quantity, but suffers from the change of sign under inversion. Similarly, in 3D-space, the Hodge dual of a scalar is equal to a constant times the 3-dimensional Levi-Civita pseudotensor (or "permutation" pseudotensor); whereas the Hodge dual of a pseudoscalar is an antisymmetric (pure ...
Mathematical definition and properties [ edit ] Mathematically, the vorticity of a three-dimensional flow is a pseudovector field, usually denoted by ω {\displaystyle {\boldsymbol {\omega }}} , defined as the curl of the velocity field v {\displaystyle \mathbf {v} } describing the continuum motion.
Although the magnetic field, , is a pseudovector (also called axial vector), the vector potential, , is a polar vector. [6] This means that if the right-hand rule for cross products were replaced with a left-hand rule, but without changing any other equations or definitions, then B {\displaystyle \mathbf {B} } would switch signs, but A would ...
pseudovector Angular momentum: L: Measure of the extent and direction an object rotates about a reference point kg⋅m 2 /s L 2 M T −1: conserved, 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 Area: A: Extent of a surface m 2: L 2 ...
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 +). [ 1 ] [ 2 ] Compare to a vector meson , which has a total spin 1 and odd parity (that is, J P = 1 − ).