Photochromic glasses are among the most widespread types of glasses, due largely to their popular use in sunglasses. These glasses are used not only in sunglasses, but also in various opto-electronic devices that have been developed and produced throughout the world. Until now, information about photochromic glasses has been widely dispersed in the literature, much of which was published in Russian and therefore of limited accessibility to the Western world. Physics and Chemistry of Photochromic Glasses brings together the combined knowledge and understanding of photochromic glasses from these publications. Coverage includes the structure, optical properties, coloration and bleaching mechanisms, technology, and metrology of these interesting materials.
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals.
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