Classical and quantized Maxwell fields deduced from algebraic many-photon theory

DOI10.4171/prims/59-2-1OpenAlexW4387484886MaRDI QIDQ6057851

Alfred Rieckers

Publication date: 26 October 2023

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/59-2-1

zbMATH Keywords

GNS-representationnuclear Fréchet spacesBoson Fock spaceMaxwell electrodynamicsgauge principleinfrared regularizationcentral decompositionsnon-trivial centerC*-Weyl algebracentral generatorsnot universally weakly inner automorphismssingular coherent states

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Hamilton's equations (70H05) General theory of von Neumann algebras (46L10) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Maxwell equations (35Q61) Bergman spaces and Fock spaces (30H20) Graded Fréchet spaces and tame operators (46A61)

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