Photons In Fock Space And Beyond (In 3 Volumes)

Volume I: From Classical to Quantized Radiation Systems:Solution Theory of Maxwell Equations in General Cavities; Cohomological Fields; Canonical Electrodynamics; C*-Algebraic Statistical Electrodynamics; Scattering Theory for Classical Fields; Canonical (Field) Quantization and Weyl Algebras; Quantized Maxwell Dynamics with Classical Sources; Photon Wave Functions and Fock Space; Finite Particles with Quantized Fields; Deformation Quantization and Operator Ordering; Infinite Heisenberg Group; Optical and Coherent States in and Beyond Fock Space; Volume II: Quantized Mesoscopic Radiation Models:Algebraic and Unitary Squeezing; Diagonalization of Field Hamiltonians; General Analysis of Squeezed States; Algebraic Black Body Radiation and Ergodic Theory; Mathematical Bloch Theory; Fermion Field Algebra; Particle-Hole Fields; Classical Extended Fermion Algebra; Mean Field Supporting States and Long Range Order; Weakly Inhomogeneous Cluster Interactions; Semiconductor-Photon Interactions; Weakly Inhomogeneous BCS Models and Josephson Junctions; Topological Effects for Junction Circuits; General Mesoscopic Radiation Models; Maxwell Dynamics as Collective Structure; Mesoscopic Dicke Models; Radiating Semiconductors; Josephson Oscillators; Microscopic and Macroscopic Quantum Structures; Volume III: Mathematics for Photon FieldsHilbert Space Operators; Sesquilinear Forms and Selfadjointness; Vector Analysis in Sobolev Spaces with Boundary Conditions; Non-Smooth Helmholtz-Hodge Decomposition Theory; *-Algebras; C*-Algebras; von Neumann Algebras; Modular Theory and Thermal Fields; Convex State Space Approach; Characterization of Quantum Theories; Orthogonal State Decompositions; Algebraic Ergodic Theory; Algebraic Transition Probabilities; Infinite Tensor Products; Locally Convex Spaces; Measures on Dual Spaces; Field Dynamics and Perturbation Theory; Manifolds and Fiber Bundles; Gauge Bundles for (Q)ED;