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Theory and Applications of the Poincare Group (Paperback, Softcover reprint of the original 1st ed. 1986)
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Theory and Applications of the Poincare Group (Paperback, Softcover reprint of the original 1st ed. 1986)
Series: Fundamental Theories of Physics, 17
Expected to ship within 10 - 15 working days
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Special relativity and quantum mechanics, formulated early in the
twentieth century, are the two most important scientific languages
and are likely to remain so for many years to come. In the 1920's,
when quantum mechanics was developed, the most pressing theoretical
problem was how to make it consistent with special relativity. In
the 1980's, this is still the most pressing problem. The only
difference is that the situation is more urgent now than before,
because of the significant quantity of experimental data which need
to be explained in terms of both quantum mechanics and special
relativity. In unifying the concepts and algorithms of quantum
mechanics and special relativity, it is important to realize that
the underlying scientific language for both disciplines is that of
group theory. The role of group theory in quantum mechanics is well
known. The same is true for special relativity. Therefore, the most
effective approach to the problem of unifying these two important
theories is to develop a group theory which can accommodate both
special relativity and quantum mechanics. As is well known, Eugene
P. Wigner is one of the pioneers in developing group theoretical
approaches to relativistic quantum mechanics. His 1939 paper on the
inhomogeneous Lorentz group laid the foundation for this important
research line. It is generally agreed that this paper was somewhat
ahead of its time in 1939, and that contemporary physicists must
continue to make real efforts to appreciate fully the content of
this classic work.
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