Max Born

Matrix mechanics and the probability rule of quantum physics (1925-26)

• His 1926 probability rule became standard. In his Nobel lecture he noted that almost every experiment in atomic and nuclear physics ends in statements about the relative frequencies of events.^[3],[4],[11]
• In 1925, with Pascual Jordan and then Heisenberg, he turned Heisenberg's new idea into matrix mechanics, the first fully self-consistent form of quantum mechanics.^[2],[6],[19]
• The Born-Oppenheimer approximation (1927), which treats a molecule's heavy nuclei and light electrons separately, remains a cornerstone of chemistry.^[8]
• In exile he served on the board of the Notgemeinschaft deutscher Wissenschaftler im Ausland, which placed about 300 émigré scientists, and helped Walter Heitler, Lothar Nordheim and Erwin Schrödinger find posts.^[6]
• With Otto Hahn he initiated the 1955 Mainau Declaration, which warned that nuclear war could wipe out entire nations; within a year 52 Nobel laureates had signed it.^[5],[18]

Born's contribution is foundational rather than countable. His probability rule is used in essentially every quantum-mechanical prediction, and matrix mechanics was the first complete form of the theory, so his work sits beneath the electronics, lasers and chemistry that quantum physics made possible. We record one ripple claim: a 1% share of cumulative world semiconductor sales, the same proxy and range used for Niels Bohr and Albert Einstein, because quantum theory had many authors and engineering was just as essential. That share is a judgment call. Much of his influence cannot be priced: the students he trained, the refugee scientists he helped place, the Born-Oppenheimer approximation used throughout chemistry, and his public campaign against nuclear weapons. We record no harm claim. He refused bomb work himself, and his link to nuclear weapons runs only through general theory and the independent choices of former students.

Fundamental scienceTechnologyEconomyPeace

Each number is the laureate’s credited share of a real-world outcome, cumulative to 2025. The whole outcome, the share of credit, and the reasoning are shown so you can check the arithmetic. Outcomes shared with other laureates are counted once on the impact page.

• Low confidenceRippleModeledEconomy

  Cumulative world semiconductor sales, a proxy for the quantum-based electronics economy

  $142–160

  billion in economic value, credited share

  That is 1% of $14.2–16 trillion in economic value since 1955.

  How this number was built

  Same whole-outcome range as the Niels Bohr and Albert Einstein profiles. WSTS worldwide semiconductor billings for 1986-2025 sum to about $10.28 trillion nominal, about $14.2 trillion in 2024 dollars using the US CPI (low). High ($16T): $14.2T + rough, unsourced allowances of ~$0.5T for pre-1986 chip sales and ~$1T for lasers and other quantum devices outside WSTS = ~$15.7T, rounded up. Sales revenue is only a proxy for value. NIST notes that quantum science underpins lasers and transistors. Share 0.01: Born gave matrix mechanics its mathematical form, supplied the probability rule used in every quantum prediction and pioneered the lattice theory of solids, but quantum theory had many authors (Planck, Einstein, Bohr, Heisenberg, Jordan, Schrödinger, Dirac, Pauli and the band theorists), and materials science and engineering were equally essential.^{[4],[19],[24],[25],[26]}

  Sources: World Semiconductor Trade Statistics (WSTS); Federal Reserve Bank of Minneapolis; National Institute of Standards and Technology (Taking Measure blog); University of Cambridge (Churchill Archives Centre news); NobelPrize.org

• Minor

  Teacher of the bomb's builders

  Born's Göttingen students and visitors included Robert Oppenheimer, who earned his doctorate under Born, and Edward Teller; both went on to build nuclear weapons. Born himself declined to join Britain's bomb project and later campaigned against nuclear weapons.^{[6],[8],[19],[21]}

• Minor

  His Edinburgh collaborator became an atomic spy

  Klaus Fuchs began working under Born at Edinburgh after earning his doctorate in 1937. When Britain interned Fuchs as a German refugee in 1940, Born secured his release. In 1941 Fuchs joined Britain's bomb project, against Born's advice, and soon began passing atomic secrets to Soviet intelligence, later continuing at Los Alamos. Born had no part in the spying.^[20],[21]

• Minor

  Military research in the First World War

  From 1915 Born worked in a German army scientific office on the theory of sound ranging, which locates enemy artillery by the sound of its guns.^[2],[6]

• 1933

  Dismissal

  Under the Nazi civil service law of April 1933, Born was put on forced leave from his Göttingen professorship because of his Jewish descent, even though he had been baptized a Lutheran in 1914.^{[6],[7],[16],[23]}

• 1933

  Exile

  He left Germany with his wife and children for Britain, working on temporary terms at Cambridge and then in Bangalore before the University of Edinburgh appointed him Tait Professor in 1936.^{[2],[8],[13],[14]}

• 1935

  Dismissal

  At the end of 1935 he was told he had been retired early from his Göttingen chair; the ministry later forced another physicist, Richard Becker, to take it.^[8]

• 1938

  Persecution

  In 1938 Nazi Germany revoked his citizenship because he had emigrated, and the University of Göttingen then withdrew his doctorate. It was never formally restored.^[7],[8]

• —

  Other

  After retiring from Edinburgh, he had to fight in West German courts to win recognition of his pension rights as a professor wrongly dismissed in 1933.^[6]

Born came from a prosperous German Jewish family in Breslau. His father, the embryologist Gustav Born, was the son of Marcus Born, recorded as the first Jewish district physician in Prussia. His mother, Margarete Kauffmann, came from a Silesian family of textile industrialists. The family was not religious. In 1913 he married Hedwig Ehrenberg, a Lutheran, and in 1914 he was baptized a Lutheran himself. In retirement he lived among a large Quaker community in Bad Pyrmont. Nazi racial law ignored his baptism: in 1933 he was put on forced leave from Göttingen because of his Jewish descent. His granddaughter was the singer Olivia Newton-John.^{[6],[7],[12],[15],[16],[19],[22],[27]}

1. December 11, 1882

   Born in Breslau, Germany (now Wrocław, Poland), to the embryologist Gustav Born and Margarete Kauffmann, of a Silesian industrial family.^[1],[2]

2. 1906

   Wins a Göttingen University prize for a study of the stability of elastic wires, which also becomes his doctoral thesis; his teachers there included Hilbert, Klein and Minkowski.^[2],[6],[8]

3. 1913

   Marries Hedwig Ehrenberg; the following year he is baptized a Lutheran.^[2],[6]

4. 1921

   Becomes professor of theoretical physics at Göttingen, alongside his friend James Franck.^[2],[6],[8]

5. 1925

   Recognizes Heisenberg's new rules as matrix algebra and, with Pascual Jordan and Heisenberg, builds matrix mechanics.^[2],[4]

6. 1926

   Proposes that Schrödinger's wave gives only probabilities, found by squaring it: the idea later honored with the Nobel Prize.^[4],[8],[10]

7. 1933

   Put on forced leave from Göttingen because of his Jewish descent; emigrates to Britain and lectures at Cambridge.^[2],[7],[8]

8. 1936

   After six months in Bangalore, India, becomes Tait Professor of Natural Philosophy at the University of Edinburgh.^[2],[13]

9. 1938

   Nazi Germany revokes his citizenship, and the University of Göttingen withdraws his doctorate.^[7],[8]

10. 1939

    Becomes a British subject, the day before the Second World War begins.^[6],[8]

11. 1954

    Shares the Nobel Prize in Physics with Walther Bothe and settles in Bad Pyrmont, West Germany.^[1],[8]

12. 1955

    Initiates the Mainau Declaration against nuclear weapons with Otto Hahn and signs the Russell-Einstein Manifesto.^{[5],[17],[18]}

13. 1957

    Joins the Göttingen Eighteen, West German scientists who publicly oppose arming the Bundeswehr with nuclear weapons.^{[6],[15],[16]}

14. January 5, 1970

    Dies in Göttingen. His gravestone there bears the equation pq − qp = h/2πi.^[1],[8],[9]

1. 1.Max Born - Facts · NobelPrize.org (Nobel Prize Outreach)
2. 2.Max Born - Biographical · NobelPrize.org (from Nobel Lectures, Physics 1942-1962, Elsevier, 1964), 1964
3. 3.The Nobel Prize in Physics 1954 - Presentation Speech by Professor I. Waller · NobelPrize.org, 1954
4. 4.Max Born - Nobel Lecture: The Statistical Interpretation of Quantum Mechanics (11 December 1954) · NobelPrize.org, 1954
5. 5.An unrelenting opposition to Earth's most dangerous weapons · NobelPrize.org
6. 6.Born, Max (NDB-online article by Klaus Hentschel) · Deutsche Biographie (Historical Commission at the Bavarian Academy of Sciences), 2024
7. 7.Zum Inhalt der Ausstellung: the withdrawal of doctoral titles at the University of Göttingen in the Third Reich · Georg-August-Universität Göttingen
8. 8.Max Born, Göttingen and Quantum Mechanics, by K. Schönhammer · University of Göttingen (talk text hosted on CERN Indico)
9. 9.Matrix Mechanics Mis-Prized: Max Born's Belated Nobelization, by John L. Heilbron and Carlo Rovelli · arXiv (physics.hist-ph, 2306.00842), 2023
10. 10.(Never) Mind your p's and q's: Von Neumann versus Jordan on the Foundations of Quantum Theory, by Anthony Duncan and Michel Janssen · arXiv (physics.hist-ph, 1204.6511), 2012
11. 11.Copenhagen Interpretation of Quantum Mechanics · Stanford Encyclopedia of Philosophy
12. 12.Max Born (1882-1970), by J J O'Connor and E F Robertson · MacTutor History of Mathematics, University of St Andrews
13. 13.Max Born (commemorative plaques) · The University of Edinburgh
14. 14.The Tait Chair of Mathematical Physics and its history · Higgs Centre for Theoretical Physics, University of Edinburgh
15. 15.Max Born (history of the institute) · Max Born Institute for Nonlinear Optics and Short Pulse Spectroscopy, Berlin
16. 16.LeMO Biografie: Max Born · Lebendiges Museum Online (Stiftung Haus der Geschichte and Deutsches Historisches Museum)
17. 17.Statement: The Russell-Einstein Manifesto (9 July 1955) · Pugwash Conferences on Science and World Affairs, 1955
18. 18.The Mainau Declaration 1955 on Nuclear Weapons · Lindau Nobel Laureate Meetings (mainaudeclaration.org), 1955
19. 19.Born identity revealed in newly-opened archive · University of Cambridge (Churchill Archives Centre news), 2011
20. 20.Klaus Fuchs · Atomic Heritage Foundation, National Museum of Nuclear Science & History
21. 21.In Praise of Those Who Would Not Build the Bomb, by Mel Watkins (Peace Magazine 27, no. 4) · Peace Magazine, 2011
22. 22.Review of The End of the Certain World: The Life and Science of Max Born, by Nancy Thorndike Greenspan · Logos Journal
23. 23.Law for the Restoration of the Professional Civil Service · United States Holocaust Memorial Museum, Holocaust Encyclopedia
24. 24.Historical Billings Report (WSTS Blue Book monthly data, 1986 to date) · World Semiconductor Trade Statistics (WSTS), 2026
25. 25.Consumer Price Index, 1913- · Federal Reserve Bank of Minneapolis
26. 26.A Quantum Leap Forward: How Tiny Particles Can Bring Us Exciting New Tech, by Corey Stambaugh · National Institute of Standards and Technology (Taking Measure blog), 2025
27. 27.Max Born - Scientist of the Day · Linda Hall Library