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This book introduces basic concepts of mathematical physics to
chemists. Many textbooks and monographs of mathematical physics may
appear daunting to them. Unlike other, related books, however, this
one contains a practical selection of material, particularly for
graduate and undergraduate students majoring in chemistry. The book
first describes quantum mechanics and electromagnetism, with the
relation between the two being emphasized. Although quantum
mechanics covers a broad field in modern physics, the author
focuses on a hydrogen(like) atom and a harmonic oscillator with
regard to the operator method. This approach helps chemists
understand the basic concepts of quantum mechanics aided by their
intuitive understanding without abstract argument, as chemists tend
to think of natural phenomena and other factors intuitively rather
than only logically. The study of light propagation, reflection,
and transmission in dielectric media is of fundamental importance.
This book explains these processes on the basis of Maxwell
equations. The latter half of the volume deals with mathematical
physics in terms of vectors and their transformation in a vector
space. Finally, as an example of chemical applications, quantum
chemical treatment of methane is introduced, including a basic but
essential explanation of Green functions and group theory.
Methodology developed by the author will also prove to be useful to
physicists.
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