Reconstruction of Macroscopic Maxwell Equations
A Single Susceptibility Theory
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Beschreibung
This book discusses the electromagnetic response function of matter, providing a logically more complete form of macroscopic Maxwell equations than the conventional literature. It shows that various problems inherent to the conventional macroscopic Maxwell equations are solved by the first-principles derivation presented. Applying long wavelength approximation to microscopic nonlocal response theory results in only one susceptibility tensor covering all the electric, magnetic and chiral polarizations, and the book provides its quantum mechanical expression in terms of the transition energies of matter and the lower moments of corresponding current density matrix elements. The conventional theory in terms of epsilon and mu is recovered in the absence of chirality under the condition that magnetic susceptibility is defined with respect to not H, but to B.
This new edition includes discussions supporting the basis of the present electromagnetic response theory ina weakly relativistic regime, showing the gauge invariance of many-body Schroedinger equation with explicit Coulomb potential, the relationship between this theory and the emergent electromagnetism, and the choice of appropriate forms of single susceptibility theory and chiral constitutive equations.
This book discusses the electromagnetic response function of matter, providing a logically more complete form of macroscopic Maxwell equations than the conventional literature. It shows that various problems inherent to the conventional macroscopic Maxwell equations are solved by the first-principles derivation presented. Applying long wavelength approximation to microscopic nonlocal response theory results in only one susceptibility tensor covering all the electric, magnetic and chiral polarizations, and the book provides its quantum mechanical expression in terms of the transition energies of matter and the lower moments of corresponding current density matrix elements. The conventional theory in terms of epsilon and mu is recovered in the absence of chirality under the condition that magnetic susceptibility is defined with respect to not H, but to B.
This new edition includes discussions supporting the basis of the present electromagnetic response theory in a weakly relativistic regime, showing the gauge invariance of many-body Schroedinger equation with explicit Coulomb potential, the relationship between this theory and the emergent electromagnetism, and the choice of appropriate forms of single susceptibility theory and chiral constitutive equations.
Provides the theory of Maxwell equations completely and explains new applications Integrates nonlocal theory and long wavelength approximation as well as quantum mechanical treatment Offers a useful reference work for researchers and study text for graduate students
Autor*in
Kikuo Cho
Themen in »Reconstruction of Macroscopic Maxwell Equations«
Chiral symmetry Long wavelength approximation Microscopic nonlocal response Single susceptibility scheme Meta-Materials Electromagnetic Response Theory Electromagnetic Response of Matter response function of matter to electromagnetic fields
Stimmen zu »Reconstruction of Macroscopic Maxwell Equations«
“This book makes for interesting reading, offering new ideas to both professional researchers as well as graduate students in the field of electromagnetism in various media.” (Vladimir Čadež, zbMATH 1421.78001, 2019)
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