where P is the generalized energy-momentum 4-vector
Thus in order to satisfy (1) we can express a displacement 4-vector
Also the potentials "V" and "A" may be considered as a 4-vector
In fact, the apparent plurality of possible Clebsch representations of 4-vector
potentials creates a unique problem on the types of symmetries hidden in some functional group structures.
The transition was done from the 4-vector
of the generalized velocity to a new 4-vector
of the Hamiltonian, specifying the energy and the momentum of substance in fundamental fields.
potential, in the background of a cosmic string, reads
[p.sub.a] is the 4-momentum of the electron .
The electrically charged spin-1 [W.sup.[+ or -]] particle is described by a 4-vector
function [W.sub.[mu]] x [[W.sub.[mu]] and the electromagnetic 4-potential [A.sub.[mu]] are linear combinations of related quantities [5, see p.
defined by the gradient of the plane monochromatic wave is linked to the energy-momentum 4-vector
of a particle by introducing Planck's constant h as
Now, density is a 0-component of a 4-vector
and the same is true for energy.
Notice that with the 4-vector
formulation Maxwell equation are written in terms of two sets of equations.