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Lothar Nordheim

Lothar Nordheim 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 Lothar Nordheim rather than just read about it. In short: Lothar Wolfgang Nordheim (November 7, 1899 – October 5, 1985) was a German–American theoretical physicist. He was a pioneer in the applications of quantum mechanics to solid-state problems, such as thermionic emission, work function of metals, field electron emission, rectification in metal-semiconductor contacts and electrical resistance in metals and alloys.

Lothar Nordheim — main illustration
Lothar Nordheim — illustration

Key takeaways

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

Reference excerpt

Lothar Wolfgang Nordheim (November 7, 1899 – October 5, 1985) was a German–American theoretical physicist. He was a pioneer in the applications of quantum mechanics to solid-state problems, such as thermionic emission, work function of metals, field electron emission, rectification in metal-semiconductor contacts and electrical resistance in metals and alloys. He also worked in the mathematical foundations of quantum mechanics, cosmic rays and in nuclear physics.

Biography

Lothar Wolfgang Nordheim was born on November 7, 1899, in Munich, Germany. In 1923, he received his Ph.D. in Physics, under Max Born, from the University of Göttingen. He also worked with Edward Teller on the muon, sparkling his interest in cosmic rays. As a physical assistant to David Hilbert (like his teacher Born before him), Nordheim worked with him John von Neumann and Eugene Wigner on the mathematical formulation of quantum mechanics in 1928. Nordheim wrote extensive articles for the Lehrbuch der Physik by J. H. J. Müller and Claude Pouillet on the quantum theory of magnetism and the conduction phenomena in metals. During the same period, he held a Rockefeller Foundation Research Fellowship and a Lorentz Fellowship. He lectured at Göttingen and was also a visiting professor at the University of Moscow. In the early 1930s, Nordheim became interested in Fermi's theory of beta decay and worked with Hans Bethe on meson decay. Upon his immigration to the United States in 1934, Nordheim served as a visiting professor at Purdue University, working on cosmic rays, before moving on to a permanent faculty position at Duke University in 1937. In 1935, Nordheim married Gertrud Pöschl, a physicist, and together they worked on structure and spectra of polyatomic molecules. During the World War II, Nordheim worked as a member of the Manhattan Project as head of department in the Clinton Laboratories in Oak Ridge and from 1945 to 1947 as head of the Physics Department there. Gertrud died in an accident during a stay in Germany in 1949; Nordheim was deeply affected. He later decided to move to California. In 1956, he became a scientist at the John L. Hopkins Laboratory of Pure and Applied Science of General Atomics in San Diego and later chairman of the Theoretical Physics Department. There he mainly dealt with the physics of nuclear reactors and neutron physics. In the early 1950s, however, he also made early contributions to the nuclear shell model with Maria Goeppert-Mayer. In 1936, Nordheim was elected a Fellow of the American Physical Society. He received honorary Doctor of Science degrees from the Karlsruhe Institute of Technology in 1951 and from Purdue University in 1963. He was also the first to give the Fritz London Memorial Lecture at Duke University in 1956. Nordheim died on October 10, 1985, in La Jolla, California, at the age of 85.

Field electron emission An important contribution, with the British physicist Ralph Fowler in 1928, was to establish the correct physical explanation of the physical phenomenon now called field electron emission. They established that electron emission occurred by a form of wave-mechanical tunneling, now called Fowler–Nordheim tunneling, and, with the help of the assumption that electrons in metals obeyed Fermi–Dirac statistics, derived an (approximate) emission equation. Over time, this equation has been developed into a family of approximate equations (offering different degrees of approximation to reality, when describing field emission from bulk metals), known as Fowler–Nordheim-type equations. Fowler–Nordheim tunneling was the first effect in physics to be firmly identified as due to wave-mechanical tunneling, in the early days of quantum mechanics. The original Fowler–Nordheim-type equation was one of the first to use Fermi–Dirac statistics to explain an experimental phenomenon involving electrons in metals, and its success greatly helped to establish modern electron band theory. The Fowler–Nordheim paper also established the physical basis for a unified treatment of field-induced and thermally induced electron emission. The ideas of J. Robert Oppenheimer, Fowler and Nordheim were also an important stimulus to the development, by George Gamow, and Ronald W. Gurney and Edward Condon, later in 1928, for the theory of the radioactive decay of nuclei (by alpha particle tunneling).

References

Notes

Illustrations

Lothar Nordheim illustration
Lothar Nordheim: Lothar and Gertrud Nordheim in Ann Arbor
Lothar and Gertrud Nordheim in Ann Arbor

Worked examples

Example 1 — a first encounter with Lothar Nordheim

Start with the simplest possible case. Write down what Lothar Nordheim 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 Lothar Nordheim 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 Lothar Nordheim 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 Lothar Nordheim

In research
Lothar Nordheim 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 Lothar Nordheim 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
Lothar Nordheim is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1899 births, 1985 deaths, 20th-century American physicists, so understanding it makes those chapters shorter.
In everyday life
Look for Lothar Nordheim 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 Lothar Nordheim in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Lothar Nordheim 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 Lothar Nordheim out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lothar Nordheim in simple terms?

Lothar Wolfgang Nordheim (November 7, 1899 – October 5, 1985) was a German–American theoretical physicist. He was a pioneer in the applications of quantum mechanics to solid-state problems, such as thermionic emission, work function of metals, field electron emission, rectification in metal-semicon…

Why does Lothar Nordheim 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 Lothar Nordheim?

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 Lothar Nordheim.

Tags

  • 1899 births
  • 1985 deaths
  • 20th-century American physicists
  • 20th-century German physicists
  • Duke University faculty
  • Emigrants from Nazi Germany to the United States
  • Fellows of the American Physical Society
  • Jewish American physicists
  • Jewish German physicists
  • Jewish emigrants from Nazi Germany to the United States
  • Theoretical physicists
  • University of Göttingen alumni

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