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Pascual Jordan

Pascual Jordan is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Pascual Jordan rather than just read about it. In short: Ernst Pascual Jordan (German: [ˈɛʁnst pasˈku̯al ˈjɔʁdan]; 18 October 1902 – 31 July 1980) was a German theoretical and mathematical physicist who made significant contributions to quantum mechanics and quantum field theory. He contributed much to the mathematical form of matrix mechanics, and developed canonical anticommutation relations for fermions.

Pascual Jordan — main illustration
Pascual Jordan — illustration

Key takeaways

  • Pascual Jordan belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Pascual Jordan to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Pascual Jordan from memory before moving on to harder problems.

Reference excerpt

Ernst Pascual Jordan (German: [ˈɛʁnst pasˈku̯al ˈjɔʁdan]; 18 October 1902 – 31 July 1980) was a German theoretical and mathematical physicist who made significant contributions to quantum mechanics and quantum field theory. He contributed much to the mathematical form of matrix mechanics, and developed canonical anticommutation relations for fermions. He introduced Jordan algebras in an effort to formalize quantum field theory; the algebras have since found numerous applications within mathematics. Jordan joined the Nazi Party in 1933, but did not follow the Deutsche Physik movement, which at the time rejected quantum physics developed by Albert Einstein and other Jewish physicists. After the Second World War, he entered politics for the conservative party CDU and served as a member of parliament from 1957 to 1961.

Family history and education Jordan was born to Ernst Pasqual Jordan (1858–1924) and Eva Fischer. Ernst Jordan was a painter renowned for his portraits and landscapes. He was an associate professor of art at Hannover Technical University when his son was born. The family name was originally Jorda and it was of Spanish origin. The first born sons were all given the name Pasqual or the version Pascual. The family settled in Hannover after Napoleon's defeat at the Battle of Waterloo in 1815 and at some stage changed their name from Jorda to Jordan. Ernst Jordan married Eva Fischer in 1892. An ancestor of Pascual Jordan named Pascual Jordan was a Spanish nobleman and cavalry officer who served with the British during and after the Napoleonic Wars. Jordan eventually settled in Hannover. In those days the House of Hanover ruled the United Kingdom. The family name was eventually changed to Jordan (pronounced in the German manner, [ˈjɔʁdaːn]). A family tradition held that the first-born son in each generation be named Pascual. Jordan was raised with a traditional religious upbringing. At age 12 he attempted to reconcile a literal interpretation of the Bible with Darwinian evolution; his teacher of religion convinced him there was no contradiction between science and religion (Jordan would write numerous articles on the relationship between the two throughout his life). Jordan enrolled in the Technical University of Hannover in 1921 where he studied zoology, mathematics, and physics. As was typical for a German university student of the time, he shifted his studies to another university before obtaining a degree. The University of Göttingen, his destination in 1923, was then at the very zenith of its powers in mathematics and the physical sciences, such as under the guidance of mathematician David Hilbert and the physicist Arnold Sommerfeld. At Göttingen, Jordan became an assistant to the mathematician Richard Courant for a time, and then he studied physics under Max Born and heredity under geneticist and race scientist Alfred Kühn for his doctorate. Jordan suffered a speech impairment throughout his life, often stuttering badly when giving unprepared remarks. In 1926, Niels Bohr offered to pay to treat it, and on the advice of Wilhelm Lenz, Jordan sought treatment at Alfred Adler's clinic in Vienna.

Scientific work Together with Max Born and Werner Heisenberg, Jordan was a coauthor 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 devised a type of nonassociative algebras, now named Jordan algebras, in an attempt to create an algebra of observables for quantum mechanics and quantum field theory. While the algebras proved not to be useful for that purpose, they have since found numerous applications within mathematics. Jordan algebras have been applied in projective geometry, number theory, complex analysis, optimization, and many other fields of pure and applied mathematics. In 1966, Jordan published his 182-page work Die Expansion der Erde. Folgerungen aus der Diracschen Gravitationshypothese (The expansion of the Earth. Conclusions from the Dirac gravitation hypothesis) in which he developed his theory that, according to Paul Dirac's hypothesis of a steady weakening of gravitation throughout the history of the universe, the Earth may have swollen to its current size, from an initial ball of a diameter of only about 7,000 kilometres (4,300 mi). This theory could explain why the ductile lower sima layer of the Earth's crust is of a comparatively uniform thickness, while the brittle upper sial layer of the Earth's crust had broken apart into the main continental plates. The continents having to adapt to the ever flatter surface of the growing ball, the mountain ranges on the Earth's surface would, in the course of that, have come into being as constricted folds. Despite the energy Jordan invested in the expanding Earth theory, his geological work was never taken seriously by either physicists or geologists.

… excerpt ends here. Continue reading the full article.

Illustrations

Pascual Jordan illustration

Worked examples

Example 1 — a first encounter with Pascual Jordan

Start with the simplest possible case. Write down what Pascual Jordan claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Pascual Jordan before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Pascual Jordan ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Pascual Jordan

In research
Pascual Jordan appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Pascual Jordan in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Pascual Jordan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1902 births, 1980 deaths, 20th-century German physicists, so understanding it makes those chapters shorter.
In everyday life
Look for Pascual Jordan outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Pascual Jordan in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pascual Jordan means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Pascual Jordan out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pascual Jordan in simple terms?

Ernst Pascual Jordan (German: [ˈɛʁnst pasˈku̯al ˈjɔʁdan]; 18 October 1902 – 31 July 1980) was a German theoretical and mathematical physicist who made significant contributions to quantum mechanics and quantum field theory. He contributed much to the mathematical form of matrix mechanics, and devel…

Why does Pascual Jordan matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Pascual Jordan?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Pascual Jordan.

Tags

  • 1902 births
  • 1980 deaths
  • 20th-century German physicists
  • 20th-century Lutherans
  • Academic staff of the University of Hamburg
  • Academic staff of the University of Rostock
  • German Lutherans
  • German mathematical physicists
  • German people of Spanish descent
  • German quantum physicists
  • German theoretical physicists
  • Luftwaffe personnel of World War II

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