Photons in Fock Space and Beyond: From Classical to Quantized Radiation Systems / Quantized Mesoscopic Radiation Models / Mathematics for Photon Fields - Couverture rigide

Honegger, Reinhard; Rieckers, Alfred

 
9789814618823: Photons in Fock Space and Beyond: From Classical to Quantized Radiation Systems / Quantized Mesoscopic Radiation Models / Mathematics for Photon Fields

Synopsis

The three-volume major reference Photons in Fock Space and Beyond undertakes a new mathematical and conceptual foundation of the theory of light emphasizing mesoscopic radiation systems. The quantum optical notions are generalized beyond Fock representations where the richness of an infinite dimensional quantum field system, with its mathematical difficulties and theoretical possibilities, is fully taken into account. It aims at a microscopic formulation of a mesoscopic model class which covers in principle all stages of the generation and propagation of light within a unified and well-defined conceptual frame.

The dynamics of the interacting systems is founded - according to original works of the authors - on convergent perturbation series and describes the developments of the quantized microscopic as well as the classical collective degrees of freedom at the same time. The achieved theoretical unification fits especially to laser and microwave applications inheriting objective information over quantum noise.

A special advancement is the incorporation of arbitrary multiply connected cavities where ideal conductor boundary conditions are imposed. From there arises a new category of classical and quantized field parts, apparently not treated in Quantum Electrodynamics before. In combination with gauge theory, the additional cohomological fields explain topological quantum effects in superconductivity. Further applications are to be expected for optoelectronic and optomechanical systems.

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Présentation de l'éditeur

The three-volume major reference Photons in Fock Space and Beyond undertakes a new mathematical and conceptual foundation of the theory of light emphasizing mesoscopic radiation systems. The quantum optical notions are generalized beyond Fock representations where the richness of an infinite dimensional quantum field system, with its mathematical difficulties and theoretical possibilities, is fully taken into account. It aims at a microscopic formulation of a mesoscopic model class which covers in principle all stages of the generation and propagation of light within a unified and well-defined conceptual frame.

The dynamics of the interacting systems is founded - according to original works of the authors - on convergent perturbation series and describes the developments of the quantized microscopic as well as the classical collective degrees of freedom at the same time. The achieved theoretical unification fits especially to laser and microwave applications inheriting objective information over quantum noise.

A special advancement is the incorporation of arbitrary multiply connected cavities where ideal conductor boundary conditions are imposed. From there arises a new category of classical and quantized field parts, apparently not treated in Quantum Electrodynamics before. In combination with gauge theory, the additional cohomological fields explain topological quantum effects in superconductivity. Further applications are to be expected for optoelectronic and optomechanical systems.

Revue de presse

This three volume work on the quantum field theory of radiation combines well presented, competent mathematical foundations with actual physical applications to mesoscopic photonics. --Professor Ernst Binz, Universität Mannheim

The authors have produced a remarkably comprehensive and coherent text that provides a new approach to the study of coupled matter-radiation systems. I expect to digest this material for quite sometime, befitting the rich content and accessible style. --Contemporary Physics

This work gives a good theoretical unification, which is useful for these practical applications ... These three volumes are recommended for mathematicians, graduate students, researchers, academics, and anybody interested in electrodynamics, quantum optics, quantum field theory, algebraic quantum theory, gauge theory, mathematical physics, laser applications, quantum information theory, and optoelectonics. --Mathematical Reviews Clippings

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Autres éditions populaires du même titre

9789814696579: Photons in Fock Space and Beyond

Edition présentée

ISBN 10 :  9814696579 ISBN 13 :  9789814696579
Editeur : World Scientific Publishing Co P..., 2015
Couverture rigide