Background
SEGAL, Irving was born on September 13, 1918 in New York, United States. Son of Aaron Segal and Fannie (nee Weinstein) Segal.
( The authors present a rigorous treatment of the first p...)
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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SEGAL, Irving was born on September 13, 1918 in New York, United States. Son of Aaron Segal and Fannie (nee Weinstein) Segal.
Bachelor of Arts, Princeton University, 1937; Doctor of Philosophy, Yale University, 1940.
He shares cr for what is often referred to as the Segal–Shale–Weil representation. Early in his career Segal became known for his developments in quantum field theory and in functional and harmonic analysis, in particular his innovation of the algebraic axioms known as C*-algebra. In 1934 was admitted to Princeton University at the age of 16.
He was then admitted to Yale, and in another three years time had completed his doctorate, receiving his Doctor of Philosophy in 1940.
Segal taught at Harvard University, then he joined the Institute for Advanced Study in Princeton on a Guggenheim Memorial Fellowship, working from 1941-1943 with Albert Einstein and Von Neumann. During World World War II Segal served in the United States. Army conducting research in ballistics at the Aberdeen Proving Ground in Maryland.
He joined the mathematics department at the University of Chicago in 1948 where he served until 1960. In 1960 he joined the mathematics department at Massachusetts Institute of Technology where he remained as a professor until his death in 1998.
He was elected to the National Academy of Sciences in 1973.
Segal died in Lexington, Massachusetts in 1998. Edward Nelson"s Segal obituary article concludes: "..It is rare for a mathematician to produce a life work that at the time can be fully and confidently evaluated by no one, but the full impact of the work of Irving Ezra Segal will become known only to future generations.".
( The authors present a rigorous treatment of the first p...)
(Book)
Served with Army of the United States, 1943-1945. Member American Mathematics Society, American Physical Society, American Academy Arts and Science, Royal Danish Academy of Sciences, American Astronomical Society, National Academy of Sciences.
Married Osa Skotting, 1955 (divorced 1977). Children: William, Andrew, Karen. Married Martha Fox., 1985.
1 child, Miriam Elizabeth.