We introduce a measure of the local density of chirality of the electromagnetic field. This
optical chirality determines the asymmetry in the rates of excitation between a small chiral …

Optical vortices are beams of laser light with screw symmetry in their wavefront. With a
corresponding azimuthal dependence in optical phase, they convey orbital angular …

Under suitable assumptions on the boundary conditions, it is shown that there is a bijective
correspondence between equivalence classes of asymptotic reducibility parameters and …

A general method using multipliers for finding the conserved integrals admitted by any given
partial differential equation (PDE) or system of partial differential equations is reviewed and …

This paper develops, in precise quantum electrodynamic terms, photonic attributes of the
“optical chirality density,” one of several measures long known to be conserved quantities for …

In the wide realm of applications of quantum electrodynamics, a non-covariant formulation of
theory is particularly well suited to describing the interactions of light with molecular matter …

The treatment of exact conservation laws in Lagrangian gauge theories constitutes the main
axis of the first part of the thesis. The formalism is developed as a self-consistent theory but …

It is shown that a Dirac (-type) equation for a rank-two bi-spinor fieldψph on Minkowski
(configuration) spacetime furnishes a Lorentz-covariant quantum-mechanical wave equation …

The laws of geometric optics and their corrections are derived for scalar, electromagnetic,
and gravitational waves propagating in generic curved spacetimes. Local peeling-type …

A conservation law theorem stated by N. Ibragimov along with its subsequent extensions are
shown to be a special case of a standard formula that uses a pair consisting of a symmetry …