Duality and helicity: the photon wave function approach

@article{Elbistan2017DualityAH,
  title={Duality and helicity: the photon wave function approach},
  author={M. Elbistan and P. A. Horvathy and P.-M. Zhang},
  journal={Physics Letters A},
  year={2017},
  volume={381},
  pages={2375-2379}
}
View PDF on arXiv
16 Citations
Background Citations
1
Methods Citations
2

Tables from this paper

16 Citations

Citation Type

Citation Type

Optical helicity and Hertz vectors
A Conformally Invariant Derivation of Average Electromagnetic Helicity
TLDR
The results are shown to be equivalent to the well-known volume integral for the average helicity, featuring the electric and magnetic fields and potentials.
Zilch vortical effect
We study the question of whether a helicity-transporting current is generated in a rotating photon gas at finite temperature. One problem is that there is no gauge-invariant local notion of helicity…
Gauge invariance of the helicity continuity equation
Duality Symmetry of Quantum Electrodynamics
The duality symmetry between electricity and magnetism hidden in classical Maxwell equations suggests the existence of dual charges, which have usually been interpreted as magnetic charges and have…
Chirality, helicity and the rotational content of electromagnetic fields
Duality Symmetry of Quantum Electrodynamics and Magnetic Charges
The duality symmetry between electricity and magnetism hidden in classical Maxwell equations suggests the existence of dual charges, which have usually been interpreted as magnetic charges and have…
Transverse spin dynamics in structured electromagnetic guided waves
TLDR
A set of spin–momentum equations are derived which describes the relationship between the spin and orbital properties of arbitrary complex electromagnetic guided modes and open up opportunities for designing the spin structure and topological properties of electromagnetic waves.
Optical momentum and angular momentum in complex media: From the Abraham-Minkowski debate to unusual properties of surface plasmon-polaritons
We examine the momentum and angular-momentum (AM) properties of monochromatic optical fields in dispersive and inhomogeneous isotropic media, using the Abraham- and Minkowski-type approaches, as well…
Optical momentum and angular momentum in complex media: from the Abraham–Minkowski debate to unusual properties of surface plasmon-polaritons
We examine the momentum and angular momentum ( AM ) properties of monochromatic optical fi elds in dispersive and inhomogeneous isotropic media, using the Abraham- and Minkowski-type approaches, as…
...
...

References

SHOWING 1-10 OF 34 REFERENCES
Dual-symmetric Lagrangians in quantum electrodynamics: I. Conservation laws and multi-polar coupling
By using a complex field with a symmetric combination of electric and magnetic fields, a first-order covariant Lagrangian for Maxwell's equations is obtained, similar to the Lagrangian for the Dirac…
Electromagnetic Duality Anomaly in Curved Spacetimes.
TLDR
It is shown that this conservation law is broken at the quantum level in the presence of a background classical gravitational field with a nontrivial Chern-Pontryagin invariant, in parallel with the chiral anomaly for massless Dirac fermions.
Electromagnetic duality symmetry and helicity conservation for the macroscopic Maxwell's equations.
TLDR
It is shown that the electromagnetic duality symmetry can be restored for the macroscopic Maxwell's equations by the presence of charges, and the restoration is shown to be independent of the geometry of the problem.
The role of the Riemann–Silberstein vector in classical and quantum theories of electromagnetism
It is shown that the use of the Riemann–Silberstein (RS) vector greatly simplifies the description of the electromagnetic field both in the classical domain and in the quantum domain. In this review,…
On the Wave Function of the Photon
It is believed that certain matrix elements of the electromagnetic field operators in quantum electrodynamics, in close analogy with nonrelativistic quantum theory of massive particles, may be…
Dual symmetric Lagrangians and conservation laws
By using a complex field with a symmetric combination of electric and magnetic fields, a first-order covariant Lagrangian for Maxwell's equations is obtained. This leads to a dual-symmetric…
Relativistic Quantum Mechanics
In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and…
Duality and helicity: A symplectic viewpoint
Optical helicity, optical spin and related quantities in electromagnetic theory
We examine the optical helicity, the optical spin and the ij-infra-zilches in electromagnetic theory and show that these conserved quantities can be combined to form a new description of the angular…
Dual electromagnetism: Helicity, spin, momentum, and angular momentum
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 and, as we…
...
...