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Gregory Wannier

Gregory Wannier 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 Gregory Wannier rather than just read about it. In short: Gregory Hugh Wannier (1911–1983) was a Swiss physicist. He developed a complete set of orthogonal functions known as the Wannier functions which became tools of the trade for solid-state theorists.

Key takeaways

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

Reference excerpt

Gregory Hugh Wannier (1911–1983) was a Swiss physicist. He developed a complete set of orthogonal functions known as the Wannier functions which became tools of the trade for solid-state theorists. He also had made contributions to ferromagnetic theory via the Ising model. The Kramers–Wannier duality yields the exact location of the critical point for the Ising model on the square lattice.

Biography Wannier received his physics PhD under Ernst Stueckelberg at the University of Basel in 1935. He worked with Professor Eugene P. Wigner as a post-doc exchange student at Princeton in the academic year 1936/1937 and later taught at several American universities before a stint in industry from 1946 to 1960. After working at Socony-Vacuum Laboratories, he joined Bell Laboratories in 1949. There he was in the Physical Electronics Group with colleagues such as William B. Shockley, Conyers Herring, John Bardeen, Charles Kittel, and Philip W. Anderson. He returned to academia in 1961 at the University of Oregon, where he retired as professor emeritus in 1977. He published a series of important papers on the properties of crystals, working with graduate students (including Douglas Hofstadter among others) and visiting professors. Additionally, he published widely read textbooks on solid-state theory and statistical mechanics. He was regarded by many in the department as its most eminent member until his death on October 21, 1983. He was a fellow of the American Physical Society.

Books Elements of solid state theory, Cambridge University Press 1959. Elements of solid state chemistry (Wannier, Gregory H.) Statistical Physics, Wiley 1966; reprint Dover 1987, 2010

See also Hofstadter's butterfly

References

External links Wannier, Gregory H., The Cambridge Dictionary of American Biography, 1995 Gregory Wannier at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Gregory Wannier

Start with the simplest possible case. Write down what Gregory Wannier 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 Gregory Wannier 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 Gregory Wannier 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 Gregory Wannier

In research
Gregory Wannier 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 Gregory Wannier 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
Gregory Wannier is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1911 births, 1983 deaths, Fellows of the American Physical Society, so understanding it makes those chapters shorter.
In everyday life
Look for Gregory Wannier 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 Gregory Wannier in 20 minutes

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

Frequently asked questions

What is Gregory Wannier in simple terms?

Gregory Hugh Wannier (1911–1983) was a Swiss physicist. He developed a complete set of orthogonal functions known as the Wannier functions which became tools of the trade for solid-state theorists.

Why does Gregory Wannier 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 Gregory Wannier?

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 Gregory Wannier.

Tags

  • 1911 births
  • 1983 deaths
  • Fellows of the American Physical Society
  • Scientists at Bell Labs
  • Swiss physicists
  • University of Basel alumni
  • University of Oregon faculty

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