We develop a nonrelativistic formulation for the quantum dynamics of an electron coupled to its own radiation field. For this purpose, we have applied the Feynman-Vernon approach to the composite system in order to obtain the reduced density operator of the electron. In the classical limit, some well-known results, such as the Abraham-Lorentz equation of motion, are reproduced. We have applied the resulting formalism to the problem of interference in order to investigate the possible effects of the incoherent modes of the electromagnetic radiation on the interference fringes. The results allow us to conclude that the coupling to the radiation field is not enough for one to observe a strong influence of those modes on the interference phenomenon.
Motivated by the recent discovery of the experimental possibility to obtain two-dimensional ͑2D͒ crystals and the permanent interest in carbon materials, we perform a theoretical investigation of the stability and electronic properties of 2D graphite ͑graphene͒ and also of some new similar carbonic structures. Using the ABINIT program we have found that the planes composed from the expanded radialenes possess metallic properties, similar to those reported recently for the nanotubes based on similar carbonic structures. Furthermore, the evaluation of the Young's modulus has shown that the expanded radialenes-based planes may have different elastic properties, in particular they may be stiffer than graphene.
We present a Lagrangian formalism to the dissipative system of a charge
interacting with its own radiation field, which gives rise to the radiation
damping \cite{Heitler}, by the indirect representation doubling the phase-space
dimensions.Comment: 3 page
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