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Pascual Jordan

Overview

Pascual Jordan (b. October 18, 1902 in Hanover, Germany; d. July 31, 1980 in Hamburg, Federal Republic of Germany) was a theoretical and mathematical physicist who made significant contributions to quantum mechanics and quantum field theory.

Jordan's great-grandfather Pascual Jorda was a Spanish nobleman and cavalry officer who served with the British during and after the Napoleonic Wars. Jorda eventually settled in Hanover which in those days was a possession of the British royal family. His patrilineal descendants held to a tradition of naming their first-born sons Pascual, while their family name was eventually changed to Jordan (pronounced in the German manner, "YOUR-den").

Jordan enrolled in the Hanover Technical University in 1921 where he studied an eclectic mix of zoology, mathematics, and physics. As was typical for a German university student of the time, he transferred before obtaining a degree. Göttingen University, his destination in 1923, was then at the very zenith of its prowess and fame in mathematics and the physical sciences. Here, Jordan became an assistant to firstly the mathematician Richard Courant and then the physicist Max Born.

Together with Max Born and Werner Heisenberg he was co-author of an important series of papers on quantum mechanics. He went on to pioneer early quantum field theory before largely switching his focus to cosmology before World War II.

Jordan joined the NSDAP (Nazi Party) in May 1933. The following November he joined the Sturmabteilung (SA) - the brown shirted storm troopers. He enlisted in the Luftwaffe in 1939 and worked for a while at the Peenemünde rocket center. During the war he attempted to interest the party in various schemes for advanced weapons, but these were ignored because he was considered "politically unreliable", probably because of his past associations with Jews (in particular: Courant, Born, and Wolfgang Pauli) and "Jewish Physics" (such a stigma also followed Werner Heisenberg for some time under the Nazis) (see the article Deutsche Physik).

It has been speculated that Jordan would have likely shared the 1954 Nobel Prize in Physics awarded to Max Born were it not for his membership in the Nazi party (see both J. Bernstein and B. Schroer references).

Wolfgang Pauli declared Jordan "rehabilitated" to the authorities some time after the war, allowing Jordan to regain academic employment after a two-year period and then recover his full status as a tenured professor in 1953. Jordan went against Pauli's advice, and reentered politics after the period of denazification came to an end under the pressures of the Cold War. He secured election to the Bundestag standing with the conservative Christian Democrats. In 1957, Jordan came out in support for the arming of the Bundeswehr with tactical nuclear weapons by the Adenauer government, while the Göttinger 18 (which included Born, Heisenberg, and Pauli) authored the Göttinger Manifest in protest. This and other issues were to further strain his relationships with his former friends and colleagues.

The non-associative Jordan algebras are named after him. They were defined in an attempt to create an algebra of observables for quantum mechanics and quantum field theory. Today, this role is more often assumed by the von Neumann algebras. Meanwhile, Jordan algebras have seen application in projective geometry and number theory.

Jordan is sometimes confused with the French mathematician Camille Jordan (Jordan curve theorem) and the German geodesist Wilhelm Jordan (Gauss-Jordan elimination).

Selected Works

*The "Dreimännerarbeit" *Jordan algebra paper with von Neumann and Wigner

References

*B. Schroer, "Pascual Jordan, his contributions to quantum mechanics and his legacy in contemporary local quantum physics", arXiv.org (arXiv) *J. Bernstein, "Max Born and the Quantum Theory", American Journal of Physics, 11 (2005), 999-1008.
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That biography says:

*Ali Javan — Iran (1928– ) *Edwin Jaynes — USA (1922–1998) *Johannes Hans Daniel Jensen — Germany (1907-1973) *Irene Joliot-Curie — France (1897-1956) *Pascual Jordan - Germany (1902-1980) *Brian David Josephson — UK (1940– ) *James Prescott Joule — UK (1818–1889)

This biography says:

...Here, Jordan became an assistant to firstly the mathematician Richard Courant and then the physicist Max Born....

That biography says:

...When Born read the paper, he recognized the formulation as one which could be transcribed and extended to the systematic language of matrices, which he had learned from his study under Jakob Rosanes at Breslau University. Born, with the help of his assistant and former student Pascual Jordan, began immediately to make the transcription and extension, and they submitted their results for publication; the paper was received for publication just 60 days after Heisenberg’s paper...

That biography says:

...Göttingen was one of the top centers for theoretical physics in the world, and Oppenheimer made a number of friends who would go on to great success, such as Werner Heisenberg, Pascual Jordan, Wolfgang Pauli, Paul Dirac, Enrico Fermi and Edward Teller. At Göttingen, Oppenheimer was known for being a quick student...

This biography says:

...During the war he attempted to interest the party in various schemes for advanced weapons, but these were ignored because he was considered "politically unreliable", probably because of his past associations with Jews (in particular: Courant, Born, and Wolfgang Pauli) and "Jewish Physics" (such a stigma also followed Werner Heisenberg for some time under the Nazis) (see the article Deutsche Physik)...

That biography says:

*Pascual Jordan *Werner Heisenberg *Carl Friedrich von Weizsäcker *Hans-Peter Dürr

That biography says:

...Some years later, having learned that his 1955 paper was highly regarded by such luminaries as Pascual Jordan, Raychaudhuri was sufficiently emboldened to submit a doctoral dissertation, and duly received his degree in 1959...

That biography says:

...At Hamburg, Lenz trained Ernst Ising and J. Hans D. Jensen; his assistants there included Wolfgang Pauli Pascual Jordan, and Albrecht Unsöld. Together with Pauli and Otto Stern, Lenz built up the Institute into an international center for nuclear physics...

This biography says:

...Together with Max Born and Werner Heisenberg he was co-author of an important series of papers on quantum mechanics. He went on to pioneer early quantum field theory before largely switching his focus to cosmology before World War II...

That biography says:

...He invented matrix mechanics, the first formalization of quantum mechanics in 1925, which he developed with the help of Max Born and Pascual Jordan. His uncertainty principle, developed in 1927, states that the simultaneous determination of two paired quantities, for example the position and momentum of a particle, has an unavoidable uncertainty...