Advances in experimental techniques are allowing researchers to
investigate the extremes of the dynamics of particle interactions
with electromagnetic fields. The theoretical tools at our disposal
are classical and quantum mechanics and experience has shown that
it is dangerous to dismiss one at the expense of the other. Each
has merits that should be fully explored; the problem, however, is
to bridge the gap between them so that the information they give is
complementary rather than contradictory. In this book, that goal is
achieved by formulating five postulates, and the level of their
implementation distinguishes the two mechanics. That the dynamics
of particles (charges) is not complete without unifying it with the
dynamics of electromagnetic fields is given special emphasis.In the
first of three parts in the book, Newton dynamics is formulated
from the Liouville equation. In the third part, this forms the
basis for implementing the uncertainty postulate to formulate
quantum mechanics. The theories of relativity and electromagnetic
interactions are derived from one of the five postulates in the
second part, and the unification of the dynamics of particles and
electromagnetic fields is formulated in the second and the third
parts. Numerous examples from each section illustrate the
theory.Employing functional analysis instead of the more abstract
techniques of linear spaces, linear operators, group theory, etc.,
the book makes well suited to advanced undergraduate level courses
in classical and quantum mechanics. The material is also intended
for postgraduate courses, in atomic and molecular physics in
particular, with examples covering modern trends in research.The
book is accompanied by a CD-ROM featuring various illustrative
examples.
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