Description: The three-volume major reference “Photons in Fock Space and Beyond”undertakes a new mathematical and conceptual foundation of the theory of lightemphasizing mesoscopic radiation systems. The quantum optical notions aregeneralized beyond Fock representations where the richness of an infinitedimensional quantum field system, with its mathematical difficulties andtheoretical possibilities, is fully taken into account. It aims at a microscopicformulation of a mesoscopic model class which covers in principle all stages ofthe generation and propagation of light within a unified and well-definedconceptual frame.The dynamics of the interacting systems is founded —according to original works of the authors — on convergent perturbation seriesand describes the developments of the quantized microscopic as well as theclassical collective degrees of freedom at the same time. The achievedtheoretical unification fits especially to laser and microwave applicationsinheriting objective information over quantum noise.A special advancement is theincorporation of arbitrary multiply connected cavities where ideal conductorboundary conditions are imposed. From there arises a new category of classicaland quantized field parts, apparently not treated in Quantum Electrodynamicsbefore. In combination with gauge theory, the additional “cohomologicalfields” explain topological quantum effects in superconductivity. Furtherapplications are to be expected for optoelectronic and optomechanical systems.
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