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Geometry of Quantum Theory - Volume 1 (Paperback, Softcover reprint of the original 1st ed. 1968)
Loot Price: R1,441
Discovery Miles 14 410
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Geometry of Quantum Theory - Volume 1 (Paperback, Softcover reprint of the original 1st ed. 1968)
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Total price: R1,461
Discovery Miles: 14 610
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The present work is the first volume of a substantially enlarged
version of the mimeographed notes of a course of lectures first
given by me in the Indian Statistical Institute, Calcutta, India,
during 1964-65. When it was suggested that these lectures be
developed into a book, I readily agreed and took the opportunity to
extend the scope of the material covered. No background in physics
is in principle necessary for understand ing the essential ideas in
this work. However, a high degree of mathematical maturity is
certainly indispensable. It is safe to say that I aim at an
audience composed of professional mathematicians, advanced graduate
students, and, hopefully, the rapidly increasing group of
mathematical physicists who are attracted to fundamental
mathematical questions. Over the years, the mathematics of quantum
theory has become more abstract and, consequently, simpler. Hilbert
spaces have been used from the very beginning and, after Weyl and
Wigner, group representations have come in conclusively. Recent
discoveries seem to indicate that the role of group representations
is destined for further expansion, not to speak of the impact of
the theory of several complex variables and function-space
analysis. But all of this pertains to the world of interacting
subatomic particles; the more modest view of the microscopic world
presented in this book requires somewhat less. The reader with a
knowledge of abstract integration, Hilbert space theory, and
topological groups will find the going easy."
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