Description: The three-volume major reference 'Photons in Fock Space and Beyond'? undertakesa new mathematical and conceptual foundation of the theory of light emphasizingmesoscopic radiation systems. The quantum optical notions are generalized beyondFock representations where the richness of an infinite dimensional quantum fieldsystem, with its mathematical difficulties and theoretical possibilities, isfully taken into account. It aims at a microscopic formulation of a mesoscopicmodel class which covers in principle all stages of the generation andpropagation of light within a unified and well-defined conceptual frame.Thedynamics of the interacting systems is founded ' according to original works ofthe authors ' on convergent perturbation series and describes the developmentsof the quantized microscopic as well as the classical collective degrees offreedom at the same time. The achieved theoretical unification fits especiallyto laser and microwave applications inheriting objective information overquantum noise.A special advancement is the incorporation of arbitrary multiplyconnected cavities where ideal conductor boundary conditions are imposed. Fromthere arises a new category of classical and quantized field parts, apparentlynot treated in Quantum Electrodynamics before. In combination with gauge theory,the additional 'cohomological fields'? explain topological quantum effects insuperconductivity. Further applications are to be expected for optoelectronicand optomechanical systems.
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