1st Edition

Fundamentals of Photon Physics

By Ole Keller Copyright 2025
    400 Pages 19 B/W Illustrations
    by CRC Press

    The photon, an abstract concept belonging to a global vacuum, only manifests itself during interaction with matter. Fundamentals of Photon Physics describes the richly faceted, basic theory of photon-matter interaction, selecting a wide number of topics. Together with the author’s book Light - The Physics of the Photon (CRC, 2014), both written on a scholarly level, the reader is given a comprehensive exposition of photon wave mechanics, quantum optics and quantum electrodynamics (QED).

    Divided into ten parts, the book begins by exploring the relation between photon wave mechanics and quantum field theory. It then describes the theories of zero- and one-photon states and that of bi-photons. After discussing conservation laws, Lagrangian formulations, geometric phase and topology, the author turns towards the theory of photon scattering, emphasizing a density matrix operator approach and the role of microscopic extinction theorems. The book next focuses on mesoscopic QED, devoting particular attention to collective jellium excitations and photon-spin interactions. Special attention is given to the basics of the photon-magnon interaction and nonlinear superconductor electrodynamics, including the nonlinear Meissner rectification phenomenon, before studying the theory of transverse photons tied to (dressing) massive particles.

    The last three parts take the reader on a journey to topics usually not treated in books on photon-matter interaction. Beginning with photons in curved space-time structures and in spatially curved media, e.g. Möbius bands, the author discusses the extension of QED to the electro-weak interaction at an introductory level. Fundamentals of Photon Physics ends with the establishment of the set of isovector Maxwell equations in non-Abelian SO(3) gauge theory, leading to the celebrated hedgehog monopole model.

     

    Ole Keller is professor emeritus of theoretical physics at Aalborg University, Denmark. He earned his Licentiate (∼ PhD) degree in semiconductor physics from the Danish Technical University in Copenhagen in 1972, and the Doctor of Science degree from the University of Aarhus (1996). In 1989 he was appointed as the first professor in physics at Aalborg University by Margrethe Den Anden, queen of Denmark. The same year he was admitted to Kraks Blaa Bog, a prestigious Danish biographical dictionary which (citatum) ”Includes men and women, whose life story could have an interest for a wider public”. He is a fellow of the Optical Society of America.

    He has written the books entitled Quantum Theory of Near-Field Electrodynamics (Springer, 2011) and LIGHT - The Physics of the Photon (CRC, 2014), as well as the monographs Local Fields in the Electrodynamics of Mesoscopic Media (Physics Reports, 1996) and On the Theory of Spatial Localization of Photons (Physics Reports, 2005). He is the editor of the books Nonlinear Optics in Solids (Springer, 1990), Studies in Classical and Quantum Nonlinear Optics (Nova Science, 1995) and Notions and Perspectives of Nonlinear Optics (World Scientific, 1996).

    In recent years he has carried out theoretical research in fundamental photon physics, microscopic few-photon diffraction, mesoscopic and Möbius band electrodynamics, and studied magnetic monopole theory based on QED and the isovector Maxwell equations in non-Abelian gauge symmetry.

    Part 1    PHOTONS: WAVE MECHANICS AND QUANTUM FIELD THEORY

    1             "Bird’s-eye view of electrodynamics as a gauge theory".

    2             "Dynamical evolution equations of gauge photons".

    3             "Quantum theory of gauge photons in structural vacuum".

    4             "Maxwell operator equations. Einstein causality".

    Part 2    ZERO - AND ONE-PHOTON STATES. BI-PHOTONS

    5             "From gauge-photon vacuum to bi-photons".

    6             "Operator extinction theorem: Mean fields, correlations, and fluctuations in free space".

    7             "Group Theory of One-Photon States".

    8             "Wave-packet photons and bi-photons".

    Part 3    CONSERVATION LAWS AND LAGRANGIANS. GEOMETRIC PHASE AND TOPOLOGY

    9             "From gauge-photon wave mechanics to the magnetostatic Aharonov-Bohm vector potential".

    10           "Invariance properties and conservation laws in electrodynamics".

    11           "Topology and geometric phase".

    12           "Lagrangian approach to electrodynamics".

    Part 4    "PHOTON SCATTERING THEORY. DENSITY OPERATOR FORMALISM".

    13           "Standard light scattering theory, ante omnia".

    14           "Semiclassical light scattering".

    15           "Density matrix formalism. Resolvent operator".

    16           "Microscopic extinction theorems".

    Part 5    BASICS OF MESOSCOPIC ELECTRODYNAMICS

    17           "Notes on nonlocal electrodynamics".

    18           Quantum-field formalism.

    19           "Surface plasmons, plasmaritons and jellions: Classical electrodynamics".

    20           "Quantum theory of collective jellium fields".

    21           "Heading for jellion quasiparticles".

    22           Photon-spin interaction.

    Part 6    BASICS OF MAGNON AND SUPERCONDUCTOR ELECTRODYNAMICS

    23           "Spin-1/2 current density: Exponential photon source confinement".

    24           “Spin waves in ferromagnets”.

    25           "Nonlinear electromagnetic rectification in BCS superconductors".

    Part 7    PHOTONS TIED TO MASSIVE PARTICLES

    26           "Radiation reaction in the self-field approach".

    27           "Particle dressed by a cloud of transverse photons".

    28           "The plasmariton quasiparticle. Surface plasmaritons".

    Part 8    PHOTONS IN CURVED STRUCTURES

    29           "The classical light particle: Geodesics and free fall".

    30           "Electrodynamics in general relativity and non-inertial frames".

    31           "Electrodynamics in spatially curved structures".

    32           "Field-coupled surface Shrödinger equation. Möbius-band electrodynamics".

    Part 9    EXTENSION OF QUANTUM ELECTRODYNAMICS TO ELECTRO-WEAK INTERACTION

    33           "Parity conservation and violation".

    34           "Abelian and non-Abelian gauge fields".

    35           "Hidden gauge invariance: U ( 1 ) case".

    36           "Electro-weak theory: An introduction".

    Part 10 MAGNETIC MONOPOLES

    37           "On the Dirac monopole and its attached string".

    38           "Magnetic monopoles: Non-retarded electrodynamics".

    39           "Photon wave mechanical monopole theory".

    40           "Magnetic monopoles in non-Abelian gauge symmetry".

    Bibliography.     

    Biography

    Ole Keller is professor emeritus of theoretical physics at Aalborg University, Denmark. He earned his Licentiate (∼ PhD) degree in semiconductor physics from the Danish Technical University in Copenhagen in 1972, and the Doctor of Science degree from the University of Aarhus (1996). In 1989 he was appointed as the first professor in physics at Aalborg University by Margrethe Den Anden, queen of Denmark. The same year he was admitted to Kraks Blaa Bog, a prestigious Danish biographical dictionary which (citatum) ”Includes men and women, whose life story could have an interest for a wider public”. He is a fellow of the Optical Society of America.

    He has written the books entitled Quantum Theory of Near-Field Electrodynamics (Springer, 2011) and LIGHT - The Physics of the Photon (CRC, 2014), as well as the monographs Local Fields in the Electrodynamics of Mesoscopic Media (Physics Reports, 1996) and On the Theory of Spatial Localization of Photons (Physics Reports, 2005). He is the editor of the books Nonlinear Optics in Solids (Springer, 1990), Studies in Classical and Quantum Nonlinear Optics (Nova Science, 1995) and Notions and Perspectives of Nonlinear Optics (World Scientific, 1996).

    In recent years he has carried out theoretical research in fundamental photon physics, microscopic few-photon diffraction, mesoscopic and Möbius band electrodynamics, and studied magnetic monopole theory based on QED and the isovector Maxwell equations in non-Abelian gauge symmetry.