Sidney Dancoff

Sidney Michael Dancoff (1914–1951) was an American theoretical physicist best known for the Tamm-Dancoff approximation method and for nearly developing a renormalization method for solving quantum electrodynamics (QED).

While Dancoff was at the University of California at Berkeley, Robert Oppenheimer suggested that he work on the calculation of the scattering of a relativistic electron by an electric field. Such QED calculations typically gave infinite answers. Following earlier perturbation-theory work by Oppenheimer and Felix Bloch, he found that he could deal in various ways with the infinities that arose, sometimes by canceling a positive infinity with a negative one. However, some infinities remained uncanceled and the method (later called renormalization) did not give finite results. He published a general description of this work in 1939. [S. M. Dancoff, Physical Review 55, p. 959 (1939)] cite book | author = S. S. Schweber | title = QED and the Men Who Made it: Dyson, Feynman, Schwinger, and Tomonaga | year = 1994 | location = Princeton | publisher = Princeton University Press | id = ISBN 0-691-03685-3 | url = http://books.google.com/books?vid=ISBN0691033277 | accessdate = 2007-02-23]

In 1948, Sin-Itiro Tomonaga and his students revisited this paper. Using improved calculational methods, they found that Dancoff had omitted one termcite web | author = S.-I. Tomonaga | title = Nobel Lecture | year = 1966 | publisher = Nobel Foundation | url = http://nobelprize.org/nobel_prizes/physics/laureates/1965/tomonaga-lecture.html | accessdate = 2007-02-23] or two terms. Once they repaired this omission, Dancoff's method worked, and they built on it to produce a theory of QED, for which Tomonaga shared the Nobel Prize in 1965. (At the same time, American physicists discovered Dancoff's error and solved QED, relying less directly on Dancoff.)

During the Second World War, Dancoff worked on the theory of the newly invented nuclear reactors. To take into account how fuel rods could "shadow" other rods by absorbing neutrons headed toward the other rods, he and M. Gainsburg developed the Dancoff factor, still used in reactor calculations. [S. M. Dancoff and M. Gainsburg, "Surface Resonance Absorption in Closely-Packed Lattice", USAEC-report CP-2157 (1944).]

After the war, Dancoff was on the faculty of the University of Illinois at Urbana-Champaign. In 1950 he published an approximation method for many-body theory that has been used in nuclear and solid-state physics. [S. M. Dancoff, Physical Review 78, 382 (1950).] Igor Tamm had found it in 1945, [I. Tamm, Journal of Physics (USSR) 9, 449 (1945)] and the method is now named after both.

In the late 1940s, Dancoff began a collaboration with the Viennese-refugee physician and radiologist Henry Quastler in the new field of cybernetics and information theory. Their work led to the publication of what is now commonly called Dancoff's Law. A non-mathematical statement of this law is, "the greatest growth occurs when the greatest number of mistakes are made consistent with survival". [cite book | author = S. M. Dancoff and H. Quastler | year = 1953 | title = Essays on the Use of Information Theory in Biology | chapter = The Information Content and Error Rate of Living Things | editor = Henry Quastler (Ed.) | location = Urbana | publisher = University of Illinois Press]

Dancoff died in 1951.

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