In physics the Wightman axioms are an attempt at a mathematically rigorous formulation of quantum field theory.
ArthurWightman formulated the axioms in the early 1950s but they were first published only in 1964, after Haag-Ruelle scattering theory affirmed their significance.
A. S. Wightman, mathematical physicist(Site not responding. Last check: 2007-10-13)
ArthurWightman founded modern mathematical physics with his work from about 1954 on the formulation of quantum field theory.
He decided that a deeper use of mathematics is needed, and formulated the Wightman axioms of relativistic quantum field theory, inspired by the idea that the theory should be a development of
Wightman introduced the idea that that field should be a distribution in the sense of L.
Charles Billings Wightman, and Charles' brothers, William and Erastus and their families, who had come to Kirtland a little later, were ordained Elders in 1836, received their anointings (a partial endowment), assisted in building the Kirtland Temple, and participated in its dedication in 1836.
They were the last of the Saints to leave Kirtland and would have left earlier, except that his mother, Amy Sholes Wightman, had fallen and broken her hip, which made it impossible for her to travel.
Charles Billings Wightman died 31 Mar 1895 in Payson at age 79, and Mary Ann Dixon Wightman died 10 Nov 1903 in Payson at age 80.
I begin with comments on a different statement by Derrida made in 1993 by ArthurWightman, a brilliant theoretical physicist, in his "post-banquet" talk at a conference at the Oak Ridge National Laboratory.
It is, however, ignored by Wightman and by John Ellis in Against Deconstruction, from which (rather than from Derrida's Dissemination) Wightman quotes or misquotes, since Ellis does not omit the negative.
Their extraordinary harm would not be diminished, even if such critics had Wightman's charm--or his wit and style--which most of them do not.
A very prominent early attempt to axiomatise QFT is ArthurWightman's field axiomatics.
Wightman's smeared out field operators are unbounded which makes the approach cumbersome from a mathematical point of view and this is one of the differences to the approach I will introduce next where only bounded operators are considered.
Early pioneering monographs on axiomatic QFT are Streater and Wightman 1964 and Bogolubov et al.
My research advisor is Jerrold Marsden, and his advisor was ArthurWightman, who was in turn advised by John Wheeler.
My current research is on the Foundations of Computational Geometric Mechanics, which is concerned with developing the underlying mathematical infrastructure in discrete geometry to systematically apply the techniques of geometric mechanics in the construction of numerical algorithms.
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Amazon.com: PCT, Spin and Statistics, and All That: Books: Raymond F. Streater,Arthur S. Wightman(Site not responding. Last check: 2007-10-13)
Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms.
Here Raymond Streater and ArthurWightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.
This advanced book exposes the mathematical framework of quantum field theory, as discovered by Wightman, who explained, in an article published in Physics Today, that he was led to such abstract language in order to understand the forces that bind the deuteron nucleus!
quarks (Preview)(Site not responding. Last check: 2007-10-13)
Here are the stories of quests full of controversies, professional jealousies, competition, and awe-inspiring elation that comes when something is truly understood.
Anton Z. Capri has an M.A. and Ph.D. from Princeton University where he studied with renowned professor Arthur S. Wightman.
He taught at the University of Alberta from 1967 to 1998 where he is now Professor Emeritus.
In 1994 Professor Mehra published The Beat of a Different Drum: The Life and Science of Richard Feynman, and he is now working (with Kimball A Milton) on a companion volume, Climbing the Mountain: The Scientific Biography of Julian Schwinger.
With ArthurWightman of Princeton University, he has coedited The Collected Works of Eugene Paul Wigner in eight volumes.
Professor Mehra has held prestigious academic appointments in Europe and the USA, including the UNESCO — Sir Julian Huxley Distinguished Professorship of History of Science in Trieste, Italy, and Paris, France.
Publisher-supplied biographical information about contributor(s) for Library of Congress control number 00061116(Site not responding. Last check: 2007-10-13)
Publisher-supplied biographical information about contributor(s) for PCT, spin and statistics, and all that / R.F. Streater, A.S. Wightman.
Bibliographic record and links to related information available from the Library of Congress catalog
Arthur S. Wightman is Professor Emeritus of Mathematics at Princeton University.
New Brunswick's Christmas Mountains(Site not responding. Last check: 2007-10-13)
They called it that either because it was the farthest north that they had ventured or because they found the stream's water particularly cold.
In 1964, Arthur F. Wightman, the New Brunswick member on the Canadian Permanent Committee on Geographical Names, gave the name North Pole Mountain to a 210-metre mountain at the head of the stream.
And then, keeping in mind the North Pole's most famous resident, he named an adjoining peak Mount St. Nicholas.
In the first place there is the "time bomb" aspect.
For over ten years this paper remained unnoticed by most physicists and, to my knowledge, it took the enthusiasm and missionary zeal of ArthurWightman to explode it finally in the early 50's.
More amazing still: in all this long time there was no similar independent work on these questions, which in retrospect appear to us now as the most logical, the first questions anybody should ask who wants to treat relativistic quantum theory.
1997 Wolf Prize Awarded to John Wheeler, last modified 20-Dec-1996(Site not responding. Last check: 2007-10-13)
After recognizing that any large collection of cold matter has no choice but to yield to the pull of gravity and undergo total collapse, Wheeler dubbed the resulting object a "fl hole." Black holes have since become a focus in gravitation theory, astrophysics, and elementary particle theory, it was stated by the Wolf Prize Committee.
John A. Wheeler (center) accepts congratulations from his Princeton colleagues Val Fitch and ArthurWightman.
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