physics

Lawrence Biedenharn

Lawrence Biedenharn 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 Lawrence Biedenharn rather than just read about it. In short: Lawrence Christian Biedenharn, Jr. (18 November 1922, Vicksburg, Mississippi – 12 February 1996, Austin, Texas) was an American theoretical nuclear physicist and mathematical physicist, a leading expert on applications of Lie group theory to physics.

Key takeaways

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

Reference excerpt

Lawrence Christian Biedenharn, Jr. (18 November 1922, Vicksburg, Mississippi – 12 February 1996, Austin, Texas) was an American theoretical nuclear physicist and mathematical physicist, a leading expert on applications of Lie group theory to physics. Biedenharn studied at MIT with an interruption in World War II from 1942 to 1946 as a lieutenant in the Signal Corps in the Pacific theater, where in 1946 he was stationed in Tokyo for a year as a radio officer. He received his bachelor's degree in absentia from MIT. After World War II, he returned to MIT where he received his PhD in physics under Victor Weisskopf in 1950. As an MIT graduate student he shared an office with J. David Jackson, then a graduate student, and John Blatt, then a post-doc. Biedenharn was employed at Oak Ridge National Laboratory, became an assistant professor at Yale University, and then an associate professor at Rice University. From 1961 he was a professor at Duke University, where he became in 1987 "James B. Duke Professor", and then retired in 1992 as professor emeritus. He remained active in teaching and research as an adjunct professor at the University of Texas, Austin. In 1996 he died from kidney cancer. Biedenharn is known for his contributions to the quantum theory of angular momentum, especially the theory of nuclear reactions and Coulomb excitations (excitations of atoms by the scattering of charged particles and the Coulomb interaction with the nucleus). In the later part of his career, he worked on representation of quantum groups. From 1985 to 1993 he was the chief editor of the Journal of Mathematical Physics. For many years Hendrik van Dam was his co-editor. In 1958 Biedenharn was a Fulbright Fellow and a Guggenheim Fellow. He received the Jesse W. Beams Award in 1979 and twice received (1976 and 1987) the Humboldt Prize. In 1950 he married Sarah Willingham, who became a lawyer; they had a son and a daughter.

Selected works with John Blatt: Blatt, John; Biedenharn, L. (1952). "Angular distribution of scattering and reaction cross sections". Rev. Mod. Phys. 24 (4): 258–272. Bibcode:1952RvMP...24..258B. doi:10.1103/RevModPhys.24.258. with J. Blatt, M. E. Rose: Biedenharn, L.; Blatt, J.; Rose, M. (1952). "Some properties of Racah and associated coefficients". Rev. Mod. Phys. 24 (4): 249–257. Bibcode:1952RvMP...24..249B. doi:10.1103/RevModPhys.24.249. with Morris Edgar Rose: Biedenharn, L.; Rose, M. (1953). "Theory of angular correlation of nuclear radiation". Rev. Mod. Phys. 25 (3): 729. Bibcode:1953RvMP...25..729B. doi:10.1103/RevModPhys.25.729. with Pieter Johannes Brussaard: Coulomb Excitations, Oxford University Press 1965 with J. D. Louck: Angular Momentum in Quantum Physics, Addison-Wesley 1981 with J. D. Louck: Racah-Wigner Algebra in Quantum Theory, Addison-Wesley 1981 with J. D. Louck: Biedenharn, L. C.; Louck, J. D. (Feb 1990). "Inhomogeneous basis set of symmetric polynomials defined by tableaux". Proc Natl Acad Sci U S A. 87 (4): 1441–1445. Bibcode:1990PNAS...87.1441B. doi:10.1073/pnas.87.4.1441. PMC 53491. PMID 11607064. with Max Lohe: Quantum Group Symmetry and q-Tensor Algebras, World Scientific 1995; 1999 reprint ISBN 981-02-2331-5 as editor with Hendrik van Dam: Quantum Theory of Angular Momentum: A Collection of Reprints and Original Papers, Academic Press 1965

References

External links Biography at Duke University website Archive Spotlight: The Lawrence Biedenharn Papers | Mathematical Association of America publications of biedenharn,l - INSPIRE-HEP

Worked examples

Example 1 — a first encounter with Lawrence Biedenharn

Start with the simplest possible case. Write down what Lawrence Biedenharn 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 Lawrence Biedenharn 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 Lawrence Biedenharn 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 Lawrence Biedenharn

In research: Lawrence Biedenharn 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 Lawrence Biedenharn 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: Lawrence Biedenharn is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1922 births, 1996 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Lawrence Biedenharn 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 Lawrence Biedenharn in 20 minutes

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Frequently asked questions

What is Lawrence Biedenharn in simple terms?

Why does Lawrence Biedenharn 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 Lawrence Biedenharn?

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 Lawrence Biedenharn.