Quantum Electromagnetics: A New Look—Part I

@article{Chew2016QuantumEA,
  title={Quantum Electromagnetics: A New Look—Part I},
  author={Weng Cho Chew and A. Y. Liu and Carlos Salazar-Lazaro and Wei E. I. Sha},
  journal={IEEE Journal on Multiscale and Multiphysics Computational Techniques},
  year={2016},
  volume={1},
  pages={73-84}
}
  • W. ChewA. Y. Liu W. Sha
  • Published 12 October 2016
  • Physics
  • IEEE Journal on Multiscale and Multiphysics Computational Techniques
Quantization of the electromagnetic field has been a fascinating and important subject since its inception. This subject topic will be discussed in its simplest terms so that it can be easily understood by a larger community of researchers. A new way of motivating Hamiltonian mechanics is presented together with a novel way of deriving the quantum equations of motion for electromagnetics. All equations of motion here are derived using the generalized Lorenz gauge with vector and scalar… 

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References

SHOWING 1-10 OF 104 REFERENCES

The Quantum Theory of the Emission and Absorption of Radiation

The new quantum theory, based on the assumption that the dynamical variables do not obey the commutative law of multiplication, has by now been developed sufficiently to form a fairly complete theory

Vector Potential Electromagnetics with Generalized Gauge for Inhomogeneous Media: Formulation (Invited Paper)

The mixed vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The present rapid development in quantum optics applications calls for electromagnetic

Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics

A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive and absorbing dielectric medium is developed. The

Action of passive, lossless optical systems in quantum optics.

It is shown that the effect of the optical instruments may be taken into account by introducing an apparatus function in a way which formally corresponds to that of classical optics, but the calculation of the corresponding convolution integrals is governed by operator ordering rules, which are essential in the case of quantum light fields.

QED and the Men Who Made It: Dyson, Feynman, Schwinger and Tomonaga

In the 1930s, physics was in crisis. There appeared to be no way to reconcile the new theory of quantum mechanics with Einstein's theory of relativity. Several approaches had been tried and had

The Quantum Vacuum: An Introduction to Quantum Electrodynamics

(Chapter Heading): Zero-Point Energy in Early Quantum Theory. The Electromagnetic Vacuum. Some QED Vacuum Effects. Nonrelativistic Theory of Atoms in Vacuum. Interlude: Radiation Reaction. The Vacuum

Differential forms in electromagnetic field theory

The calculus of differential forms can be presented as concretely as vector analysis; and such a treatment is included. We give Maxwell's laws and their geometrical interpretation and show how

Multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics

The dynamics of a collection of resonant atoms embedded inside an inhomogeneous nondispersive and lossless dielectric is described with a dipole Hamiltonian that is based on a canonical quantization

MACROSCOPIC QUANTUM ELECTRODYNAMICS — CONCEPTS AND APPLICATIONS

In this article, we review the principles of macroscopic quantum electrodynamics and discuss a variety of applications of this theory to medium-assisted atom-field coupling and dispersion forces. The

Quantization of the electromagnetic field in dielectrics.

  • HuttnerBarnett
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1992
The dielectric constant of the medium is explicitly derived and is shown to satisfy the Kramers-Kronig relations and the exact eigenoperators for the coupled system are calculated.
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