The dual symmetry between electric and magnetic fields is an important intrinsic property of
Maxwell equations in free space. This symmetry underlies the conservation of optical helicity …

In the absence of charges, Maxwell's equations are highly symmetrical. In particular, they
place the electric and magnetic fields on equal footing. In light of this electric–magnetic …

Recent developments in non-Hermitian physics offer exciting opportunities for a broad range
of basic research and engineering applications relevant to the antennas and propagation …

The physics of systems that cannot be described by a Hermitian Hamiltonian, has been
attracting a great deal of attention in recent years, motivated by their nontrivial responses …

For systems of partial differential equations in three spatial dimensions, dynamical
conservation laws holding on volumes, surfaces, and curves, as well as topological …

A bstract In this paper, we reduce the electromagnetic theory to future null infinity and obtain
a vector theory at the boundary. We compute the Poincaré flux operators which could be …

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 …

We carry out an extensive investigation of conservation laws and potential symmetries for
the class of linear (1+ 1)-dimensional second-order parabolic equations. The group …

A bstract Higher-form symmetries are associated with transformations that only act on
extended objects, not on point particles. Typically, higher-form symmetries live alongside …

Any partial differential equation (PDE) system can be effectively analyzed through
consideration of its tree of nonlocally related systems. If a given PDE system has n local …