Reconstruction of Macroscopic Maxwell Equations

Throughout my whole career including student time I have had a feeling that leaning and teaching electromagnetism, especially macroscopic Maxwell equations (M-eqs) is dif?cult. In order to make a good use of these equations, it seemed necessary to be able to use certain empirical knowledges and model-dependent concepts, rather than pure logics. Many of my friends, colleagues and the physicists I have met on various occasions have expressed similar impressions. This is not the case with microscopic M-eqs and quantum mechanics, which do not make us feel reluctant to teach, probably because of the clear logical structure. What makes us hesitate to teach is probably because we have to explain what we ourselves do not completely understand. Logic is an essential element in physics, as well as in mathematics, so that it does not matter for physicists to experience dif?culties at the initial phase, as far as the logical structure is clear. As the we- known principles of physics say, a good theory should be logically consistent and explain relevant experiments. Our feeling about macroscopic M-eqs may be related with some incompleteness of their logical structure.

New and complete theory of Maxwell equations Integrates nonlocal theory and long wavelength approximation as well as quantum mechanical treatment Useful reference work for researchers and study text for graduate students alike Includes supplementary material: sn.pub/extras

Klappentext
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.

Inhalt
New Form of Macroscopic Maxwell Equations.- Discussions of the New Results.- Further Considerations.- Mathematical Details and Additional Physics.