physics

Martin Gutzwiller

Martin Gutzwiller 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 Martin Gutzwiller rather than just read about it. In short: Martin Charles Gutzwiller (12 October 1925 – 3 March 2014) was a Swiss-American physicist, known for his work on field theory, quantum chaos, and complex systems. He spent most of his career at IBM Research, and was also an adjunct professor of physics at Yale University.

Key takeaways

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

Reference excerpt

Martin Charles Gutzwiller (12 October 1925 – 3 March 2014) was a Swiss-American physicist, known for his work on field theory, quantum chaos, and complex systems. He spent most of his career at IBM Research, and was also an adjunct professor of physics at Yale University.

Biography Gutzwiller was born on October 12, 1925, in the Swiss city of Basel. He completed a Diploma degree from ETH Zurich, where he studied quantum physics under Wolfgang Pauli. He then went to the University of Kansas and completed a Ph.D under Max Dresden. After graduation, he worked on microwave engineering for Brown, Boveri & Cie, on geophysics for Shell Oil, and eventually for IBM Research in Switzerland, New York City, and Yorktown Heights, until his retirement in 1993. He also held temporary teaching appointments at Columbia University, ETH Zurich, Paris-Orsay, and Stockholm. He was Vice Chair for the Committee on Mathematical Physics, of the International Union of Pure and Applied Physics, from 1987 to 1993. He joined Yale University as adjunct professor in 1993, retaining the position until his retirement.

Scientific work Gutzwiller formulated the Gutzwiller approximation for describing electrons with strong local interactions in terms of the Gutzwiller wave function, composed of a simple many-electron wave function acted on by a correlation operator ("Gutzwiller projection"). He was also the first to investigate the relationship between classical and quantum mechanics in chaotic systems. In that context, he developed the Gutzwiller trace formula, the main result of periodic orbit theory, which gives a recipe for computing spectra from periodic orbits of a system. He is the author of the classic monograph on the subject, Chaos in Classical and Quantum Mechanics (1990). Gutzwiller is also known for finding novel solutions to mathematical problems in field theory, wave propagation, crystal physics, and celestial mechanics. In appreciation of his contributions to theoretical physics, the Max Planck Institute for the Physics of Complex Systems (MPIPKS) annually awards the Martin Gutzwiller Fellowship to acknowledge and promote exceptional research in this field.

Book collecting Gutzwiller had an avid interest in the history of science. He eventually acquired a valuable collection of rare books on astronomy and mechanics. Shortly after his death, his collection was auctioned at Swann Galleries, in New York City. The auction took place on April 3, 2014, and raised a total of US$341,788.

Honors Fellow of National Academies of Science in 1992 Fellow of American Academy of Arts and Sciences in 1993 Fellow of American Physical Society Dannie Heineman Prize for Mathematical Physics in 1993 Max Planck medal in 2003

References

External links Chaos in classical and quantum mechanics by Martin C. Gutzwiller 1990 Baeriswyl, Dionys; Berry, Michael; Vollhardt, Dieter (2014). "Martin Charles Gutzwiller" (PDF). Physics Today. 67 (6): 60. Bibcode:2014PhT....67f..60B. doi:10.1063/PT.3.2426. M. V. Berry and D. Baeriswyl, "Martin C. Gutzwiller", Biographical Memoirs of the National Academy of Sciences (2016)

Illustrations

Worked examples

Example 1 — a first encounter with Martin Gutzwiller

Start with the simplest possible case. Write down what Martin Gutzwiller 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 Martin Gutzwiller 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 Martin Gutzwiller 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 Martin Gutzwiller

In research: Martin Gutzwiller 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 Martin Gutzwiller 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: Martin Gutzwiller is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1925 births, 2014 deaths, Book and manuscript collectors, so understanding it makes those chapters shorter.
In everyday life: Look for Martin Gutzwiller 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 Martin Gutzwiller in 20 minutes

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

Frequently asked questions

What is Martin Gutzwiller in simple terms?

Why does Martin Gutzwiller 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 Martin Gutzwiller?

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 Martin Gutzwiller.