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This book presents a logically more complete form of macroscopic Maxwell equations than the conventional ones by applying long wavelength approximation to microscopic nonlocal theory. This scheme requires only one susceptibility tensor describing electric and magnetic polarizations together with their mutual interference. The quantum mechanical expression of the susceptibility covers both chiral and achiral symmetry. Only in the absence of chiral symmetry, this reduces to the conventional form, under the additional condition of using magnetic susceptibility defined with respect to, not H, but B. This scheme solves various problems inherent to the conventional scheme of Maxwell equations.

Maxwell equations. --- Maxwellsche Gleichungen. --- Metamaterials. --- Maxwell equations --- Metamaterials --- Physics --- Physics - General --- Electricity & Magnetism --- Physical Sciences & Mathematics --- Mathematical physics. --- Physical mathematics --- Equations, Maxwell --- Mathematics --- Physics. --- Optics. --- Electrodynamics. --- Mathematical Methods in Physics. --- Optics and Electrodynamics. --- Dynamics --- Light --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Differential equations, Partial --- Electromagnetic theory --- Classical Electrodynamics. --- Meta materials --- Composite materials --- Electromagnetism

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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.

Mathematical physics --- Optics. Quantum optics --- Electromagnetism. Ferromagnetism --- Experimental atomic and molecular physics --- Electronics and optics of solids --- Solid state physics --- moleculen --- vaste stof --- materie (fysica) --- laserspectroscopie --- elektrodynamica --- wiskunde --- fysica --- atomen --- transistoren --- halfgeleiders --- microwaves

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Nanostructures --- Optical properties.

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This book presents a logically more complete form of macroscopic Maxwell equations than the conventional ones by applying long wavelength approximation to microscopic nonlocal theory. This scheme requires only one susceptibility tensor describing electric and magnetic polarizations together with their mutual interference. The quantum mechanical expression of the susceptibility covers both chiral and achiral symmetry. Only in the absence of chiral symmetry, this reduces to the conventional form, under the additional condition of using magnetic susceptibility defined with respect to, not H, but B. This scheme solves various problems inherent to the conventional scheme of Maxwell equations.

Mathematical physics --- Optics. Quantum optics --- Electromagnetism. Ferromagnetism --- Physics --- elektrodynamica --- wiskunde --- fysica --- optica