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The Jaynes-Cummings model of early quantum optics is examined from the point of view of a discrete-space discrete-time formulation of the electromagnetic field (the FDTD formulation) excited by an elementary quantum Hertzian dipole associated to a single edge of the discrete-space lattice. The quantum Hertz dipole is a natural 2-level atomic system, and the quantum dynamics of the electromagnetic...
We revisit the formulation within the FDTD method of the Abraham-Lorentz model of a 1-electron atom coupling to an external electromagnetic field via the dipole interaction between the field and the moving charge. This classical problem is reformulated for a purely discrete space in discrete-time by specifying the electromagnetic potentials and the electron charge density only at discrete spatial...
A spatially discretised Reduced Maxwell Bloch model is investigated, which models nonlinear optical propagation through a thin slab of resonant atomic material placed in a recirculating cavity. The model may be used to determine the stationary states of the cavity field, which may then be subjected to stability analysis. The analysis identifies the structure of the canonical integrable discrete model...
The operation and optimization of integrated electricity and natural gas systems is investigated. The couplings between these different infrastructures are modeled by energy hubs, which can convert and store different types of energy. In previous work, the interaction between three interconnected hubs has been analyzed. In order to take into account predicted system behavior and operational constraints,...
The optimization of combined electricity and natural gas systems is addressed in this paper. The two networks are connected via energy hubs. Using the energy hub concept, the interactions between the different infrastructures can be analyzed. A system consisting of several interconnected hubs forms a distributed power generation structure where each hub is controlled by its respective control agent...
The fundamental electrical nature of matter and its relation to the chemical and physical behavior of materials is more widely recognized at present than ever before. Dielectric constant, power factor and conductivity studies have proven to be powerful means of increasing our understanding of the structure and physical chemical properties of molecules. This information is not only important in order...
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