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Mark Azbel

Mark Azbel 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 Mark Azbel rather than just read about it. In short: Mark Yakovlevich Azbel (Russian: Марк Яковлевич Азбель; 12 May 1932 — 31 March 2020) was a Soviet and Israeli physicist. He was a member of the American Physical Society.

Key takeaways

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

Reference excerpt

Mark Yakovlevich Azbel (Russian: Марк Яковлевич Азбель; 12 May 1932 — 31 March 2020) was a Soviet and Israeli physicist. He was a member of the American Physical Society. Between 1956 and 1958, he experimentally demonstrated cyclotron resonance in metals, and worked out its theoretical basis. Azbel's 1964 analysis of Bloch electrons in a magnetic field contained ideas which were prescient of both the renormalization group and (though he did not make this explicit) the possibility of a fractal that was eventually discovered by Douglas Hofstadter and later called Hofstadter's butterfly.

Biography Azbel was born in 1932, in Kharkiv (at the time, in the Ukrainian Soviet Socialist Republic) to a family of physicians. From 1941, aged 9 to 12, he and his family lived under wartime evacuation in (Siberia). In 1944, the family returned to Kharkiv. In 1948 Azbel graduated from high school and in the same year entered the National University of Kharkiv. After graduation, he taught mathematics at evening school. In 1958, he defended his doctorate (Doctor of Physical and Mathematical Sciences) under the supervision of Lev Landau and Pyotr Kapitsa. In 1964 he began working at Moscow State University and concurrently as a section chair at the Landau Institute for Theoretical Physics. In 1972, Azbel applied for emigration from the Soviet Union to Israel, and in 1973 (a full four years before leaving the Soviet Union) was appointed a lecturer at Tel Aviv University, where he initially gave his lectures by telephone. Having been refused exit permission from the Soviet Union, he participated in the movement of refuseniks in the USSR in the mid-seventies. Azbel finally emigrated from the USSR in 1977 and was appointed Professor at Tel Aviv University. He lived mainly in Israel until his death in 2020.

Scientific contributions Azbel was a theoretical physicist. His areas of study included the quantum physics of electrons in metals, and he made the first prediction of cyclotron resonance in metals, now widely known as the Azbel-Kaner resonance. In an important 1964 article, Azbel made conjectures about the nature of the Harper spectrum which contributed to the discovery of the Hofstadter butterfly in 1974.

Works Mark Azbel (1981). Refusenik, trapped in the Soviet Union. Forbes, Grace Pierce. Boston: Houghton Mifflin. ISBN 0-395-30226-9. OCLC 6735540. Electron Theory of Metals. Ilia M. Lifshits, Mark Ya. Azbel, Moisei I. Kaganov. Consultants Bureau. 1973. ISBN 9780306108730. OCLC 797018485.{{cite book}}: CS1 maint: others (link) Azbel, M. Ya. (1964). "Energy Spectrum of a Conduction Electron in a Magnetic Field". Journal of Experimental and Theoretical Physics. 19 (3): 634–645.

Awards and prizes

Lomonosov Prize, 1966 Lomonosov Prize, 1968 Landau Prize, Israel, 1989 Humboldt Prize, Germany, 2001

References

External links Институт теоретической физики им. Ландау Первый эксперимент: переписка и обсуждение. Де-Бройль, Леонтович, Фабрикант, Азбель, Сахаров Физик, хам, антисоветчик

Worked examples

Example 1 — a first encounter with Mark Azbel

Start with the simplest possible case. Write down what Mark Azbel 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 Mark Azbel 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 Mark Azbel 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 Mark Azbel

In research
Mark Azbel 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 Mark Azbel 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
Mark Azbel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1932 births, 2020 deaths, Academic staff of Moscow State University, so understanding it makes those chapters shorter.
In everyday life
Look for Mark Azbel 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 Mark Azbel in 20 minutes

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

Frequently asked questions

What is Mark Azbel in simple terms?

Mark Yakovlevich Azbel (Russian: Марк Яковлевич Азбель; 12 May 1932 — 31 March 2020) was a Soviet and Israeli physicist. He was a member of the American Physical Society.

Why does Mark Azbel 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 Mark Azbel?

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 Mark Azbel.

Tags

  • 1932 births
  • 2020 deaths
  • Academic staff of Moscow State University
  • Academic staff of Tel Aviv University
  • Israeli physicists
  • Kharkiv Institute of Physics and Technology people
  • National University of Kharkiv alumni
  • Refuseniks
  • Scientists from Kharkiv
  • Soviet physicists

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