Paul Weiss (mathematician)
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Paul Weiss (9 April 1911 – 19 January 1991) was a German and British mathematician and theoretical physicist, pioneer of
canonical quantization In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible. Historically, this was not quite ...
of field theories.


Biography

Paul Weiss was born in Sagan in the German part of
Silesia Silesia (, also , ) is a historical region of Central Europe that lies mostly within Poland, with small parts in the Czech Republic and Germany. Its area is approximately , and the population is estimated at around 8,000,000. Silesia is split ...
(now in Poland) into a wealthy
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
industrialist family. In 1929–1933 he was educated at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
, where he became a pupil of
Max Born Max Born (; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a n ...
, with a break for the academic year 1930–31, when he worked as a school teacher; he also studied in Paris and Zurich for some time. After the Nazis came to power, Born left Germany and invited Weiss to the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
; Weiss joined Born in the autumn of 1933 (his mother and sister had already moved to England). After Born moved to Edinburgh, the young scientist continued work under the direction of
Paul Dirac Paul Adrien Maurice Dirac (; 8 August 1902 – 20 October 1984) was an English theoretical physicist who is regarded as one of the most significant physicists of the 20th century. He was the Lucasian Professor of Mathematics at the Univer ...
and in 1936 received his PhD with a thesis "The Notion of Conjugate Variables in the Calculus of Variations for Multiple Integrals and its Application to the Quantisation of Field Physics". In the thesis and several subsequent publications, Weiss has developed a scheme of
canonical quantization In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible. Historically, this was not quite ...
of field theories, in particular, he generalized commutation relations for the field variables. He focused primarily on general mathematical formalism for the quantization of field theories. Weiss's method (the so-called parameter formalism), based on the analysis of the parameters labelling an arbitrary hypersurface, was used by Dirac in the late 1940s to develop canonical quantization of constrained Hamiltonian systems, and later – for the development of the
canonical quantum gravity In physics, canonical quantum gravity is an attempt to quantize the canonical formulation of general relativity (or canonical gravity). It is a Hamiltonian formulation of Einstein's general theory of relativity. The basic theory was outlined by B ...
(first of all, in the works of
Peter Bergmann Peter Gabriel Bergmann (24 March 1915 – 19 October 2002) was a German-American physicist best known for his work with Albert Einstein on a unified field theory encompassing all physical interactions. He also introduced primary and secondar ...
and
Bryce DeWitt Bryce Seligman DeWitt (January 8, 1923 – September 23, 2004), was an American theoretical physicist noted for his work in  gravitation and quantum field theory. Life He was born Carl Bryce Seligman, but he and his three brothers, including ...
). After defending his thesis, Weiss stayed for two years in Cambridge, including the 1937/38 academic year, when he taught a course in quantum electrodynamics. Then there were two semesters spent in the
Queen's University Belfast , mottoeng = For so much, what shall we give back? , top_free_label = , top_free = , top_free_label1 = , top_free1 = , top_free_label2 = , top_free2 = , established = , closed = , type = Public research university , parent = ...
, where he lectured on mathematical mechanics. During this time, he wrote a long article giving the quaternion equations for the special relativity and for the motion of a charged particle emitting electromagnetic radiation. After the Second World War broke out, on 5 September 1939, Weiss expressed his desire to work for national defense. However, at that time, he did not have British citizenship, so on 12 May 1940, during a visit to Cambridge he was interned and in July sent to a special camp in Quebec. There he, along with many colleagues (
Max Perutz Max Ferdinand Perutz (19 May 1914 – 6 February 2002) was an Austrian-born British molecular biologist, who shared the 1962 Nobel Prize for Chemistry with John Kendrew, for their studies of the structures of haemoglobin and myoglobin. He went ...
,
Hermann Bondi Sir Hermann Bondi (1 November 1919 – 10 September 2005) was an Austrian- British mathematician and cosmologist. He is best known for developing the steady state model of the universe with Fred Hoyle and Thomas Gold as an alternative to the ...
,
Walter Heitler Walter Heinrich Heitler (; 2 January 1904 – 15 November 1981) was a German physicist who made contributions to quantum electrodynamics and quantum field theory. He brought chemistry under quantum mechanics through his theory of valence bond ...
, Klaus Fuchs) lectured at the improvised university organized by interned scientists. Meanwhile, his sister Helene with the help of the
Society for the Protection of Science and Learning The Council for At-Risk Academics (CARA) is a charitable British organisation dedicated to assisting academics in immediate danger, those forced into exile, and many who choose to remain in their home countries despite the serious risks they face ...
has taken a number of steps to bring back her brother; Born, Dirac, Paul Ewald, Ralph Fowler and other colleagues wrote on his behalf. Finally, in December 1940, it was decided to release Weiss, and in January 1941 he had left the camp. In February 1941, Weiss was appointed a lecturer in applied mathematics at
Westfield College Westfield College was a small college situated in Hampstead, London, from 1882 to 1989. It was the first college to aim to educate women for University of London degrees from its opening. The college originally admitted only women as students and ...
, and held this position until 1950. In August 1946, the scientist applied for citizenship and in June of the following year became a British citizen. In 1950–51 he worked for some time at the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
in Princeton and soon moved permanently to the United States. Until 1957 he worked as an applied mathematician for
General Electric General Electric Company (GE) is an American multinational conglomerate founded in 1892, and incorporated in New York state and headquartered in Boston. The company operated in sectors including healthcare, aviation, power, renewable energ ...
. One of the directions of his work at this time was the use of the methods of
operations research Operations research ( en-GB, operational research) (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a discipline that deals with the development and application of analytical methods to improve deci ...
to solve business problems. In the years 1958–1960, Weiss worked for
Aviation Corporation Aviation includes the activities surrounding mechanical flight and the aircraft industry. ''Aircraft'' includes airplane, fixed-wing and helicopter, rotary-wing types, morphable wings, wing-less lifting bodies, as well as aerostat, lighter- ...
, before joining to the mathematical faculty of
Wayne State University Wayne State University (WSU) is a public research university in Detroit, Michigan. It is Michigan's third-largest university. Founded in 1868, Wayne State consists of 13 schools and colleges offering approximately 350 programs to nearly 25,000 ...
in Detroit, where he worked until his death in 1991. While working in London, Weiss married Marliese Oppa, they had two children. They also adopted her relative, who survived at
Belsen Bergen-Belsen , or Belsen, was a Nazi concentration camp in what is today Lower Saxony in northern Germany, southwest of the town of Bergen near Celle. Originally established as a prisoner of war camp, in 1943, parts of it became a concentr ...
. Their daughter
Ruth Ruth (or its variants) may refer to: Places France * Château de Ruthie, castle in the commune of Aussurucq in the Pyrénées-Atlantiques département of France Switzerland * Ruth, a hamlet in Cologny United States * Ruth, Alabama * Ruth, Ar ...
worked as a programmer at
Bell Labs Nokia Bell Labs, originally named Bell Telephone Laboratories (1925–1984), then AT&T Bell Laboratories (1984–1996) and Bell Labs Innovations (1996–2007), is an American industrial research and scientific development company owned by mult ...
. Weiss's sister Helene was a specialist in ancient philosophy and in
Martin Heidegger Martin Heidegger (; ; 26 September 188926 May 1976) was a German philosopher who is best known for contributions to phenomenology, hermeneutics, and existentialism. He is among the most important and influential philosophers of the 20th centur ...
's work, who was her teacher in 1920s. Another sister, Gertrud, was married to a famous psychologist
Kurt Lewin Kurt Lewin ( ; 9 September 1890 – 12 February 1947) was a German-American psychologist, known as one of the modern pioneers of social, organizational, and applied psychology in the United States. During his professional career Lewin applied hi ...
.


Select publications

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Sources

* {{DEFAULTSORT:Weiss, Paul 1911 births 1991 deaths British theoretical physicists Jewish emigrants from Nazi Germany to the United Kingdom 20th-century German mathematicians 20th-century British mathematicians 20th-century German physicists 20th-century British physicists University of Göttingen alumni People from Żagań