Wavelet Electrodynamics

Wavelet electrodynamics II: Atomic Composition of Electromagnetic Waves, Applied and Computational Harmonic Analysis 1:246–260

The representation of solutions of Maxwell's equations as superpositions of scalar wave-lets with vector coefficients developed earlier is generalized to wavelets with polarization, which are matrix-valued. The construction proceeds in four stages: (1) A Hilbert space H of solutions is considered, based on a conformally invariant inner product. (2) The analytic-signal transform is used to exten...

Classical Electrodynamics

Comparison between Weber ’ s electrodynamics and classical electrodynamics

We present the main aspects of Weber’s electrodynamics and of Maxwell’s equations. We discuss Maxwell’s point of view related to Weber’s electrodynamics. We compare Weber’s force with Lorentz’s force. We analyse the relation between Weber’s law and Maxwell’s equations. Finally, we discuss some experiments performed and proposed with which we can distinguish Weber’s force from Lorentz’s one.

Complex Structures in Electrodynamics

In this paper we show that the basic external (i.e. not determined by the equations) object in Classical electrodynamics equations is a complex structure. In the 3-dimensional standard form of Maxwell equations this complex structure I participates implicitly in the equations and its presence is responsible for the so called duality invariance. We give a new form of the equations showing explic...

Cavity quantum electrodynamics

The simplest model in quantum optics deals with a single two-level atom interacting with a single mode of the radiation field. This ideal situation is implemented in Cavity Quantum Electrodynamics experiments, using high quality microwave or optical cavities as photon boxes. It provides a test bench for fundamental quantum processes and a promising ground for quantum information processing.