All Topics  
Pascual Jordan

 

   Email Print
   Bookmark   Link






 

Pascual Jordan



 
 
Pascual Jordan (b. 18 October 1902 in Hanover
Hanover

Hanover or Hannover#Definitions , on the river Leine, is the capital city of the Federal states of Germany of Lower Saxony , Germany and was once by personal union the family seat of the House of Hanover, in their dignities as the dukes of Brunswick-L?neburg ....
, Germany
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
; d. 31 July 1980 in Hamburg
Hamburg

Hamburg is the second-largest city in Germany , and is the Largest cities of the European Union by population within city limits. The city is home to approximately 1.8 million people, while the Hamburg metropolitan area has more than 4.3 million inhabitants....
, Federal Republic of Germany
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
) was a theoretical and mathematical physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 who made significant contributions to quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
 and quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
. He contributed much to the mathematical form of matrix mechanics
Matrix mechanics

Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925.Matrix mechanics was the first complete and correct definition of quantum mechanics....
, and developed canonical anticommutation relations
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
 for fermion
Fermion

In particle physics, fermions are subatomic particle which obey Fermi-Dirac statistics; they are named after Enrico Fermi. In contrast to bosons, which have Bose-Einstein statistics, only one fermion can occupy a quantum state at a given time; this is the Pauli Exclusion Principle....
s. While the Jordan algebra
Jordan algebra

In abstract algebra, a Jordan algebra is an algebra over a field whose product satisfies the following axioms:# # .The product of two elements x and y in a Jordan algebra is also denoted xy, particularly to avoid confusion with the product of a related associative algebra....
 he invented is no longer employed in quantum mechanics, it has found other mathematical applications.

Jordan joined the Nazi party and became a brownshirt, a political affiliation which isolated him within the physics community.

His surname is identical to that of the French mathematician Camille Jordan
Camille Jordan

Marie Ennemond Camille Jordan was a France mathematician, known both for his foundational work in group theory and for his influential Cours d'analyse....
 (Jordan curve theorem
Jordan curve theorem

In topology, the Jordan curve theorem states that every non-self-intersecting Loop in the plane divides the plane into an "inside" and an "outside" region, and any path connecting a point of one region to a point of the other intersects that loop somewhere....
) and the German geodesist
Geodesy

Geodesy , also called geodetics, a branch of earth sciences, is the scientific discipline that deals with the measurement and representation of the Earth, including its gravitational field, in a three-dimensional time-varying space....
 Wilhelm Jordan
Wilhelm Jordan

Wilhelm Jordan was a Germany geodesist who did surveys in Germany and Africa and founded the German geodesy journal.Jordan was born in Ellwangen a small town in southern Germany....
 (Gauss-Jordan elimination).

Family history
An ancestor of Pascual Jordan named Pascual Jorda[ftp://ftp2.biblioteca.cbpf.br/pub/apub/2003/nf/nf_zip/nf01803.pdf] was a Spanish
Spain

Spain or the Kingdom of Spain , is a country located in Southern Europe on the Iberian Peninsula.The Spanish constitution does not establish any official denomination of the country, even though Espa?a , Estado espa?ol and Naci?n espa?ola are used interchangeably....
 nobleman and cavalry officer who served with the British
Great Britain

Great Britain is an island lying to the northwest of Continental Europe. It is the List of islands by area, and the largest in Europe. With a population of 58.9 million people it is List of islands by population....
 during and after the Napoleonic Wars
Napoleonic Wars

The Napoleonic Wars were a series of conflicts involving Napoleon I of France First French Empire and changing sets of European allies and opposing coalitions that ran from 1803 to 1815....
.






Discussion
Ask a question about 'Pascual Jordan'
Start a new discussion about 'Pascual Jordan'
Answer questions from other users
Full Discussion Forum



Encyclopedia


Pascual Jordan (b. 18 October 1902 in Hanover
Hanover

Hanover or Hannover#Definitions , on the river Leine, is the capital city of the Federal states of Germany of Lower Saxony , Germany and was once by personal union the family seat of the House of Hanover, in their dignities as the dukes of Brunswick-L?neburg ....
, Germany
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
; d. 31 July 1980 in Hamburg
Hamburg

Hamburg is the second-largest city in Germany , and is the Largest cities of the European Union by population within city limits. The city is home to approximately 1.8 million people, while the Hamburg metropolitan area has more than 4.3 million inhabitants....
, Federal Republic of Germany
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
) was a theoretical and mathematical physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 who made significant contributions to quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
 and quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
. He contributed much to the mathematical form of matrix mechanics
Matrix mechanics

Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925.Matrix mechanics was the first complete and correct definition of quantum mechanics....
, and developed canonical anticommutation relations
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
 for fermion
Fermion

In particle physics, fermions are subatomic particle which obey Fermi-Dirac statistics; they are named after Enrico Fermi. In contrast to bosons, which have Bose-Einstein statistics, only one fermion can occupy a quantum state at a given time; this is the Pauli Exclusion Principle....
s. While the Jordan algebra
Jordan algebra

In abstract algebra, a Jordan algebra is an algebra over a field whose product satisfies the following axioms:# # .The product of two elements x and y in a Jordan algebra is also denoted xy, particularly to avoid confusion with the product of a related associative algebra....
 he invented is no longer employed in quantum mechanics, it has found other mathematical applications.

Jordan joined the Nazi party and became a brownshirt, a political affiliation which isolated him within the physics community.

His surname is identical to that of the French mathematician Camille Jordan
Camille Jordan

Marie Ennemond Camille Jordan was a France mathematician, known both for his foundational work in group theory and for his influential Cours d'analyse....
 (Jordan curve theorem
Jordan curve theorem

In topology, the Jordan curve theorem states that every non-self-intersecting Loop in the plane divides the plane into an "inside" and an "outside" region, and any path connecting a point of one region to a point of the other intersects that loop somewhere....
) and the German geodesist
Geodesy

Geodesy , also called geodetics, a branch of earth sciences, is the scientific discipline that deals with the measurement and representation of the Earth, including its gravitational field, in a three-dimensional time-varying space....
 Wilhelm Jordan
Wilhelm Jordan

Wilhelm Jordan was a Germany geodesist who did surveys in Germany and Africa and founded the German geodesy journal.Jordan was born in Ellwangen a small town in southern Germany....
 (Gauss-Jordan elimination).

Family history


An ancestor of Pascual Jordan named Pascual Jorda[ftp://ftp2.biblioteca.cbpf.br/pub/apub/2003/nf/nf_zip/nf01803.pdf] was a Spanish
Spain

Spain or the Kingdom of Spain , is a country located in Southern Europe on the Iberian Peninsula.The Spanish constitution does not establish any official denomination of the country, even though Espa?a , Estado espa?ol and Naci?n espa?ola are used interchangeably....
 nobleman and cavalry officer who served with the British
Great Britain

Great Britain is an island lying to the northwest of Continental Europe. It is the List of islands by area, and the largest in Europe. With a population of 58.9 million people it is List of islands by population....
 during and after the Napoleonic Wars
Napoleonic Wars

The Napoleonic Wars were a series of conflicts involving Napoleon I of France First French Empire and changing sets of European allies and opposing coalitions that ran from 1803 to 1815....
. Jorda eventually settled in Hanover, which in those days was a possession of the British royal family
House of Hanover

The House of Hanover is a Germanic peoples Royal family dynasty which has ruled the Duchy of Brunswick-L?neburg , the Kingdom of Hanover and the Kingdom of Great Britain and the Kingdom of Ireland....
. The family name was eventually changed to Jordan (pronounced in the German manner, "YOUR-dan"). A family tradition dictated that the first-born son in each generation be named Pascual.

Jordan enrolled in the Hanover Technical University in 1921 where he studied an eclectic mix of zoology
Zoology

Zoology is the branch of biology concerned with the study of animals. The most common pronunciation of "zoology" is ; however, an alternative pronunciation is ....
, mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, and physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
. As was typical for a German university student of the time, he shifted his studies to another university 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. At Göttingen Jordan became an assistant first to mathematician Richard Courant
Richard Courant

Richard Courant was a Germany mathematician....
 and then to physicist Max Born
Max Born

Max Born was a Germany 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 number of notable physicists in the 1920s and 30s....
.

Scientific work


Together with Max Born
Max Born

Max Born was a Germany 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 number of notable physicists in the 1920s and 30s....
 and Werner Heisenberg
Werner Heisenberg

Werner Heisenberg was a German Theoretical physics who made foundational contributions to quantum mechanics and is best known for asserting the uncertainty principle of quantum theory....
 he was co-author of an important series of papers on quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
. He went on to pioneer early quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
 before largely switching his focus to cosmology
Cosmology

Cosmology is study of the Universe in its totality, and by extension, humanity's place in it. Though the word cosmology is recent , study of the Universe has a long history involving science, philosophy, esotericism, and religion....
 before World War II.

Jordan devised a type of non-associative algebras, now named Jordan algebra
Jordan algebra

In abstract algebra, a Jordan algebra is an algebra over a field whose product satisfies the following axioms:# # .The product of two elements x and y in a Jordan algebra is also denoted xy, particularly to avoid confusion with the product of a related associative algebra....
s in his honor, in an attempt to create an algebra of observables for quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
 and quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
. Today, von Neumann algebra
Von Neumann algebra

In mathematics, a von Neumann algebra or W*-algebra is a star-algebra of Bounded linear operator on a Hilbert space that is closed in the weak operator topology and contains the identity operator....
s are employed for this purpose. Jordan algebras have since been applied in projective geometry
Projective geometry

In mathematics projective geometry is the study of geometric properties which are invariant under projective transformations. The field of projective geometry is itself divided into many subfields, two examples of which are projective algebraic geometry and projective differential geometry ....
 and number theory
Number theory

Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study....
.

Political activities


Jordan joined the NSDAP (Nazi Party) in May 1933. The following November he joined the Sturmabteilung
Sturmabteilung

The , abbreviated SA, , functioned as a paramilitary organization of the Nazi Party the Germany Nazism. They played a key role in Adolf Hitler's rise to power in the 1930s....
 (SA)—the brown-shirted storm troopers. He enlisted in the Luftwaffe
Luftwaffe

is a generic German term for an air force. It is also the official name for two of the four historic German air forces, the Wehrmacht air arm founded in 1933 and disbanded in 1946; and the current Bundeswehr air arm founded in 1956....
 in 1939 and worked for a while at the Peenemünde
Peenemünde

Peenem?nde is a village in the northeast of the Germany part of the Usedom island. It stands near the mouth of the Peene river, on the easternmost part of the German Baltic Sea coast....
 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
Wolfgang Pauli

Wolfgang Ernst Pauli was an Austrian theoretical physicist noted for his work on spin , and for the discovery of the Pauli exclusion principle underpinning the structure of matter and the whole of chemistry....
) and "Jewish Physics" (this stigma also followed Werner Heisenberg for some time under the Nazis).

Had Jordan not joined the Nazi party, it is conceivable that he could have shared the 1954 Nobel Prize
Nobel Prize

The Nobel Prize , established in the 1895 will of Swedish chemist Alfred Nobel; it was first awarded in Nobel Prize in Physics, Nobel Prize in Chemistry, Nobel Prize in Physiology or Medicine, Nobel Prize in Literature, and Nobel Peace Prize in 1901....
 in Physics awarded to Max Born
Max Born

Max Born was a Germany 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 number of notable physicists in the 1920s and 30s....
. Bernstein (2005) and Schroer discuss this.

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
Denazification

File:Denazification-street.jpgDenazification was an Allies_of_World_War_II initiative to rid Germany and Austrian society, culture, press, economy, judiciary, and politics of any remnants of the Nazism regime....
 came to an end under the pressures of the Cold War
Cold War

The Cold War was the continuing state of conflict, tension and competition that existed between a number of world powers, including the United States, the Soviet Union, People's Republic of China, France, United Kingdom and those countries' respective allies from the mid-1940s to the early 1990s....
. He secured election to the Bundestag
Bundestag

The 'Bundestag' is the parliament of Germany. It was established with Germany's constitution of 1949 and is the successor of the earlier Reichstag ....
 standing with the conservative
Conservatism

Conservatism is a political and social term whose meaning has changed in different countries and time periods, but which usually indicates support for the status quo or the status quo ante....
 Christian Democratic Union
Christian Democratic Union

Christian Democratic Union can refer to:* Christian Democratic Union * Christian Democratic Union * Christian Democratic Union ...
. In 1957 Jordan supported the arming of the Bundeswehr
Bundeswehr

The Bundeswehr is the name of the unified armed forces of the Germany and their civil administration and procurement authorities. The States of Germany are not allowed to maintain armed forces of their own, since the Constitution determines that matters of defense fall into the sole responsibility of the Federal government....
 with tactical nuclear weapons by the Adenauer
Konrad Adenauer

Konrad Hermann Josef Adenauer , 5 January 1876 ? 19 April 1967) was a Germany statesman.Although his political career spanned sixty years, beginning as early as 1906, he is most noted for his role as the Chancellor of Germany of West Germany from 1949?1963 and chairman of the Christian Democratic Union from 1950 to 1966....
 government, while the Göttinger 18
Göttinger 18

The G?ttingen Eighteen was a group of eighteen leading nuclear researchers of the newly-founded Federal Republic of Germany who wrote the G?ttingen Manifesto on April 12, 1957, opposing Chancellor Konrad Adenauer and Defense Secretary Franz-Josef Strau?'s move to arm the West German army, the Bundeswehr, with tactical nuclear weapons....
 (which included Born, Heisenberg, and Pauli) issued the Göttinger Manifest
Göttinger Manifest

The G?ttingen Manifesto was a declaration of 18 leading nuclear scientists of West Germany against arming the West German army with tactical nuclear weapons in the 1950s, the early part of the Cold War, as the West German government under chancellor Konrad Adenauer had suggested....
 in protest. This and other issues were to further strain his relationships with his former friends and colleagues.

Selected works

  • M. Born, W. Heisenberg, P. Jordan, "Zur Quantenmechanik" Zeitschrift f. Physik 35, (1926). (The renowned "Dreimännerarbeit" paper.)
  • Jordan algebra paper with von Neumann and Wigner.