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Jean Bellissard

Jean Bellissard 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 Jean Bellissard rather than just read about it. In short: Jean Vincent Bellissard (born 1 March 1946, Lyon) is a French theoretical physicist and mathematical physicist, known for his work on C*-algebras, K-theory, noncommutative geometry as applied to solid state physics, particularly, to quantum Hall effect and topological insulators. Bellissard worked as a teaching assistant at the École catholique des arts et métiers (E.C.A.M.) from 1965 to 1969.

Key takeaways

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

Reference excerpt

Jean Vincent Bellissard (born 1 March 1946, Lyon) is a French theoretical physicist and mathematical physicist, known for his work on C*-algebras, K-theory, noncommutative geometry as applied to solid state physics, particularly, to quantum Hall effect and topological insulators. Bellissard worked as a teaching assistant at the École catholique des arts et métiers (E.C.A.M.) from 1965 to 1969. He graduated from the Université Claude Bernard Lyon 1 with bachelor's degree in 1967, Diplôme d'études approfondies (DEA) in wave mechanics in 1968, and DEA in theoretical physics in 1970. He qualified in 1969 with the Agrégation in physics. From 1969 to 1970 he taught at Lyon's Lycée La Martinière, an engineering preparatory school, and was simultaneously enrolled as a graduate student in theoretical physics at the Aix-Marseille University. In 1974 he received his doctorate from the Aix-Marseille University with thesis Champs quantifiés dans un champ exterieur (Quantized fields in an external field) with advisor Raymond Stora. Bellissard was a postdoc from 1974 to 1974 at the University of Lausanne with advisor Jean-Jacques Loeffel. At the Université de Provence Aix-Marseille I, Bellissard was from 1970 to 1980 an assistant professor, from 1980 to 1991 an associate professor. From 1991 he was to 2007 a full professor in Toulouse. On a visit from October 1979 to January 1980 at the Institut des hautes études scientifiques (I.H.É.S.) he worked with Alain Connes and started on a program of research on the noncommutative geometry of aperiodic solids. Bellissard created the Group of Theoretical Physics at the Paul Sabatier University in Toulouse. During the 1980s he visited the United States several times. From 1983 to 1984 he was a visiting professor at Princeton University. In 1986 he was visiting researcher at Caltech. From 1993 to 1999 he was the editor-in-chief of the Annales de l'Institut Henri Poincaré (theoretical physics). In 2002 he moved to Atlanta, Georgia to become a full professor at Georgia Tech, where he has a joint appointment in the School of Mathematics and the School of Physics. In 1989 he received the Prix Paul-Langevin from the Société Française de Physique. In 1994 he was an Invited Speaker at the International Congress of Mathematicians in Zürich with talk Noncommmutative geometry and the quantum Hall effect. In 1996 he was made Chevalier Ordre des Palmes Académique (France). He was elected a Fellow of the American Mathematical Society in 2012.

Selected publications K-theory of C*-algebras in solid state physics, Lect. Notes Phys. 257, 99–156 (1986). doi:10.1007/3-540-16777-3_74 Gap labeling theorems for Schrödinger Operators, in Michel Waldschmidt, Claude Itzykson, Jean-Marc Luck, Pierre Moussa (eds.): From Number Theory and Physics, pp. 538–630, Les Houches 1989, Springer 1992 doi:10.1007/978-3-662-02838-4_12 Graffi, Sandro, ed. (15 November 2006). "Non Commutative Methods in Semiclassical Analysis by Jean Bellissard". Transition to Chaos in Classical and Quantum Mechanics: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 6 - 13, 1991. Springer. pp. 1–64. ISBN 978-3-540-48782-1.

References

External links "Jean Bellissard / Wannier transform for aperiodic solids: preliminary results". YouTube. Mathnet Korea. 13 May 2018.

Worked examples

Example 1 — a first encounter with Jean Bellissard

Start with the simplest possible case. Write down what Jean Bellissard 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 Jean Bellissard 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 Jean Bellissard 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 Jean Bellissard

In research
Jean Bellissard 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 Jean Bellissard 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
Jean Bellissard is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 20th-century French physicists, 21st-century French physicists, so understanding it makes those chapters shorter.
In everyday life
Look for Jean Bellissard 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 Jean Bellissard in 20 minutes

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

Frequently asked questions

What is Jean Bellissard in simple terms?

Jean Vincent Bellissard (born 1 March 1946, Lyon) is a French theoretical physicist and mathematical physicist, known for his work on C*-algebras, K-theory, noncommutative geometry as applied to solid state physics, particularly, to quantum Hall effect and topological insulators. Bellissard worked…

Why does Jean Bellissard 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 Jean Bellissard?

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 Jean Bellissard.

Tags

  • 1946 births
  • 20th-century French physicists
  • 21st-century French physicists
  • Academic staff of the University of Provence
  • Aix-Marseille University alumni
  • Fellows of the American Mathematical Society
  • French mathematical physicists
  • French theoretical physicists
  • Georgia Tech faculty
  • Living people
  • Scientists from Lyon

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