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Mário Schenberg

Mário Schenberg 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 Mário Schenberg rather than just read about it. In short: Mário Schenberg (born Mayer Schönberg [var. Mário Schönberg, Mario Schonberg, Mário Schoenberg]; 2 July 1914 – 10 November 1990) was a Brazilian electrical engineer, physicist, art critic and writer.

Mário Schenberg — main illustration
Mário Schenberg — illustration

Key takeaways

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

Reference excerpt

Mário Schenberg (born Mayer Schönberg [var. Mário Schönberg, Mario Schonberg, Mário Schoenberg]; 2 July 1914 – 10 November 1990) was a Brazilian electrical engineer, physicist, art critic and writer.

Early life

Schenberg was born on 2 July 1914 in Recife, Brazil as Mayer Schönberg. His parents were Russian Jews of German origin. From early on he showed remarkable ability for mathematics, enchanting himself with geometry, which had a strong influence on his works. He took the primary and secondary courses in Recife. Because of his family's financial limitations, he was not able to study in Europe. He then entered the Faculty of Engineering of Recife in 1931.

Scientific work

The Urca process Widely regarded as one of Brazil's most important theoretical physicists, Schenberg is best remembered for his contributions to astrophysics, particularly the theory of nuclear processes in the formation of supernova stars. He provided the inspiration for the name of the so-called Urca process, a cycle of nuclear reactions in which a nucleus loses energy by absorbing an electron and then re-emitting a beta particle plus a neutrino-antineutrino pair, leading to the loss of internal supporting pressure and consequent collapse and explosion in the form of a supernova. George Gamow (1904–1968) was inspired to name the process Urca after the name of the Urca Casino in Rio de Janeiro, when Schönberg remarked to him that "the energy disappears in the nucleus of the supernova as quickly as the money disappeared at that roulette table."

Schönberg–Chandrasekhar limit Together with Indian physicist Subrahmanyan Chandrasekhar (1910–1995), he discovered and published in 1942 the so-called Schönberg–Chandrasekhar limit, which is the maximum mass of the core of a star that can support the overlying layers against gravitational collapse once the core hydrogen is exhausted.

Quantum physics and geometric algebra At the University of São Paulo Schönberg interacted closely with David Bohm during the final years of Bohm's exile in Brazil, and, in 1954, Schönberg demonstrated a link among the quantized motion of the Madelung fluid and the trajectories of the de Broglie–Bohm theory. He wrote a series of publications of 1957/1958 on geometric algebras applicable to quantum physics and quantum field theory. He pointed out that those algebras can be described in terms of extensions of the commutative and the anti-commutative Grassmann algebras which have the same structure as the boson algebra and the fermion algebra of creation and annihilation operators. These algebras, in turn, are related to symplectic algebras and to Clifford algebras, respectively. In a paper published in 1958, Schönberg suggested to add a new idempotent to the Heisenberg algebra, and this suggestion was taken up and expanded upon in the 1980s by Basil Hiley and his co-workers in their work on algebraic formulations of quantum mechanics; this work was performed at Birkbeck College where Bohm had become professor of physics in the meantime. Schönberg's ideas have also been cited in connection with algebraic approaches to describe relativistic phase space. His work has been cited, together with that of Marcel Riesz, for its importance to Clifford algebras and mathematical physics in the proceedings of a workshop held in France in 1989 which had been dedicated to these two mathematicians.

Politics and life Schenberg was a member of the Brazilian Communist Party and professor of the University of São Paulo. He died on 10 November 1990 in São Paulo.

Articles His articles include:

M. Schönberg: Quantum kinematics and geometry, Il Nuovo Cimento (1955–1965), vol. 6, Supplement 1, pp. 356–380, 1957, doi:10.1007/BF02724793 (preview) M. Schönberg, S. Chandrasekhar: On the Evolution of the Main-Sequence Stars, Astrophysical Journal, vol. 96, no. p. 161 ff., 1942, fulltext

Legacy Mario Schenberg Graviton, a spherical, resonant-mass, gravitational wave detector.

References

External links Mário Schenberg on INSPIRE-HEP

Illustrations

Mário Schenberg illustration

Worked examples

Example 1 — a first encounter with Mário Schenberg

Start with the simplest possible case. Write down what Mário Schenberg 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 Mário Schenberg 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 Mário Schenberg 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 Mário Schenberg

In research
Mário Schenberg 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 Mário Schenberg 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
Mário Schenberg is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1914 births, 1990 deaths, 20th-century Brazilian people, so understanding it makes those chapters shorter.
In everyday life
Look for Mário Schenberg 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 Mário Schenberg in 20 minutes

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

Frequently asked questions

What is Mário Schenberg in simple terms?

Mário Schenberg (born Mayer Schönberg [var. Mário Schönberg, Mario Schonberg, Mário Schoenberg]; 2 July 1914 – 10 November 1990) was a Brazilian electrical engineer, physicist, art critic and writer.

Why does Mário Schenberg 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 Mário Schenberg?

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 Mário Schenberg.

Tags

  • 1914 births
  • 1990 deaths
  • 20th-century Brazilian people
  • 20th-century Brazilian scientists
  • Academic staff of the University of São Paulo
  • Brazilian communists
  • Brazilian people of German-Jewish descent
  • Brazilian people of Russian-Jewish descent
  • Brazilian physicists
  • Jewish Brazilian writers
  • Jewish scientists
  • Jewish socialists

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