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Max Robert Schafroth

Max Robert Schafroth 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 Max Robert Schafroth rather than just read about it. In short: Max Robert Schafroth (8 February 1923 in Burgdorf, Switzerland – 29 May 1959 in North Queensland, Australia) was a Swiss theoretical physicist who made important contributions to the theory of superconductivity. In 1954, he proposed that electron pairing was the physical mechanism responsible for superconductivity.

Max Robert Schafroth — main illustration
Max Robert Schafroth — illustration

Key takeaways

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

Reference excerpt

Max Robert Schafroth (8 February 1923 in Burgdorf, Switzerland – 29 May 1959 in North Queensland, Australia) was a Swiss theoretical physicist who made important contributions to the theory of superconductivity. In 1954, he proposed that electron pairing was the physical mechanism responsible for superconductivity. Working together with John Markus Blatt and Stuart Thomas Butler at the University of Sydney in the 1950s, Schafroth developed a theory that explained superconductivity as a Bose-Einstein condensation of electron pairs, the idea relevant to high-temperature superconductivity.

Early life and education Schafroth was born in Burgdorf, Switzerland to Colonel Max F. Schafroth and Lydia Schafroth-Oberholzer. He was educated at public schools in Burgdorf and Bern, graduating from the Stadtisches Gymnasium Bern in 1941. His tertiary studies were interrupted by a two-year service in the Swiss army. In 1948, Schafroth received a Diploma in Mathematics and Physics from the Federal Institute of Technology in Zurich. In 1949, he was awarded the title of Doctor of Natural Sciences for his work in theoretical physics under Professor Wolfgang Pauli. From 1949 to 1953, Schafroth worked as Pauli's assistant, mainly on Quantum Field Theory and the Theory of Superconductivity. In 1953–1954, funded by a two-year overseas grant from the Schweizer Arbeitsgemeinschaft für Mathematik und Physik, Schafroth was a Research Fellow at the University of Liverpool, working with Herbert Fröhlich on superconductivity.

University of Sydney and theory of superconductivity In late 1953, Schafroth accepted the Lecturer position in the then newly expanded School of Physics at the University of Sydney. He arrived in Sydney in early summer 1954. There, he formed a collaboration with John Markus Blatt and Stuart Thomas Butler focused on the theory of superconductivity, theory of superfluidity, and particle physics. In the fall of 1954, Schafroth published two papers in Physical Review. In the first paper, he proved that an ideal Bose gas would exhibit Meissner effect, one of the two main hallmarks of superconductivity. A paper by Blatt and Butler on superfluidity of a (charge-neutral) Bose gas was published in the same issue. After the papers were published, School of Physics's head Harry Messel called a press conference highlighting the group's success. In the second paper, Schafroth suggested that under certain circumstances electrons in a metal could form bound pairs that would approximately behave as bosons. That would lead to superconductivity by virtue of his previous result. The idea of electron pairing as the physical mechanism behind superconductivity was proposed earlier by Richard Ogg Jr. but his paper was not noticed by the physics community. Schafroth was not aware of and did not cite Ogg's work. Later, Ogg's contribution was acknowledged by Blatt. These early results led to the development of Quasichemical Equilibrium Theory in which superconductivity was explained as a Bose-Einstein Condensation (BEC) of electron pairs. (The BEC idea was also mentioned by Ogg.) Schafroth spent September–December 1955 at the Institute for Advanced Study in Princeton, New Jersey developing the theory and visiting a number of American Universities to promote his, Blatt and Butler's work. In particular, Schafroth visited John Bardeen at the University of Illinois Urbana-Champaign in mid-September and later in November 1955. According to Blatt, during those visits Schafroth had "long and detailed discussions" about his ideas with Leon Cooper who had just joined Bardeen's group. Cooper later recalled

Schafroth, Butler and Blatt had considered a system of charged electron pair molecules whose size was less than the average distance between them so they could be treated as a charged Bose-Einstein gas. They had shown that such a system displayed a Meissner effect and a critical temperature condensation. Schafroth, as I recall, gave a colloquium at Illinois presenting his ideas. I am not sure when that colloquium was given: whether it was before or after my own pair idea. However I was aware of Schafroth's argument by the time I submitted my letter to Physical Review in September 1956. The Quasichemical Equilibrium theory was initially submitted to Physical Review but rejected in the original form. Instead of making extensive amendments requested by a sole referee, the paper was sent to Helvetica Physica Acta "in the interest of speedy publication". The manuscript was received on 16 October 1956 and published in June 1957, ahead of the rival theory by Bardeen, Cooper and Robert Schrieffer. After the BCS theory was published, Schafroth criticized its handling of the Meissner effect and a lack of gauge invariance. The underlying difficulty was later removed by Philip Anderson and other researchers, leading to a wide adoption of the BCS theory as the correct description of superconductivity in simple metals and alloys. Schafroth was promoted to Senior Lecturer at the University of Sydney from January 1, 1955, and later to Reader in Physics from January 1, 1957. On October 10, 1958, Schafroth wrote a letter of resignation from his position as Reader, to take effect from September 1959, in order to take up an appointment as Professor and Chair of Theoretical Physics at the University of Geneva.

Personal life and accidental death In 1952, Schafroth married Katherli (Kathy) Gemperle in Zurich. They had a son, born on 24 November 1955. On 29 May 1959, Schafroth and his wife Kathy died in an airplane accident while vacationing in North Queensland, Australia. The crash was described in The Age:

… excerpt ends here. Continue reading the full article.

Illustrations

Max Robert Schafroth illustration
Max Robert Schafroth: John Blatt, Robert Schafroth and Stuart Butler at the University of Sydney on November 21, 1954
John Blatt, Robert Schafroth and Stuart Butler at the University of Sydney on November 21, 1954

Worked examples

Example 1 — a first encounter with Max Robert Schafroth

Start with the simplest possible case. Write down what Max Robert Schafroth 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 Max Robert Schafroth 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 Max Robert Schafroth 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 Max Robert Schafroth

In research
Max Robert Schafroth 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 Max Robert Schafroth 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
Max Robert Schafroth is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1923 births, 1959 deaths, Academic staff of the University of Sydney, so understanding it makes those chapters shorter.
In everyday life
Look for Max Robert Schafroth 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 Max Robert Schafroth in 20 minutes

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

Frequently asked questions

What is Max Robert Schafroth in simple terms?

Max Robert Schafroth (8 February 1923 in Burgdorf, Switzerland – 29 May 1959 in North Queensland, Australia) was a Swiss theoretical physicist who made important contributions to the theory of superconductivity. In 1954, he proposed that electron pairing was the physical mechanism responsible for s…

Why does Max Robert Schafroth 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 Max Robert Schafroth?

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 Max Robert Schafroth.

Tags

  • 1923 births
  • 1959 deaths
  • Academic staff of the University of Sydney
  • Accidental deaths in Queensland
  • People from Burgdorf, Switzerland
  • Superconductivity scientists and engineers
  • Swiss expatriates in Australia
  • Swiss physicists
  • Victims of aviation accidents or incidents in 1959
  • Victims of aviation accidents or incidents in Australia

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