Riemann-Silberstein vector

To put the Riemann-Silberstein vector in contemporary parlance, a transition is made:

The Ψ via the Riemann-Silberstein vector has certain advantages over the other possible choices.

The Riemann-Silberstein vector is well known in classical electrodynamics and has certain interesting properties and uses.

The Riemann-Silberstein vector is used as a point of reference in the geometric algebra formulation of electromagnetism.

The Riemann-Silberstein vector is used for an exact matrix representations of Maxwell's equations in an inhohogeneous medium with sources.

This contribution has been described as a crucial step in modernizing Maxwell's equations, while E + i B is known as the Riemann-Silberstein vector.

Ludwik Silberstein studied a complexified electromagnetic field E + h B, where there are three components, each a complex number, known as the Riemann-Silberstein vector.

With the advent of spinor calculus that superseded the quaternionic calculus, the transformation properties of the Riemann-Silberstein vector have become even more transparent ... a symmetric second-rank spinor.

In mathematical physics, in particular electromagnetism, the Riemann-Silberstein vector, named after Bernhard Riemann and Ludwig Silberstein, (or sometimes ambiguously called the "electromagnetic field") is a complex vector that combines the electric field E and the magnetic field B.

In 1996 contribution to quantum electrodynamics, Iwo Bialynicki-Birula used the Riemann-Silberstein vector as the basis for an approach to the photon, noting that it is a "complex vector-function of space coordinates r and time t that adequately describes the quantum state of a single photon".