
Contents
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Von Neumann’s Contributions to Quantum Theory Von Neumann’s Contributions to Quantum Theory
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The mathematical framework of quantum theory. The mathematical framework of quantum theory.
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Statistical aspects of quantum theory. Statistical aspects of quantum theory.
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Other contributions. Other contributions.
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References References
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Von Neumann Work Related to Quantum Theory Von Neumann Work Related to Quantum Theory
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References References
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Cite
Extract
In 1933, John von Neumann [28 December 1903–8 February 1957 ] became (together with Albert Einstein and Oswald Veblin) a member of the founding faculty (and Kurt Gödel a visiting member) of the Institute for Advanced Study, where he remained for the remainder of his life. The distinguished author of the following commemorative essay was a member in 1949 and 1952–1954, and had then an opportunity to become personally acquainted with von Neumann. The essay was taken (with permission) from volume 64, number 3, part 2 (May 1958) pages 95–99 of the Bulletin of the American Mathematical Society, the 129-page entirety of which is given over to expert surveys of von Neumann’s contributions to eight different subject areas.
Von Neumann’s Contributions to Quantum Theory
That von Neumann has been “par excellence” the mathematician of quantum mechanics is as obvious to every physicist now as it was a quarter of a century ago. Quantum mechanics was very fortunate indeed to attract, in the very first years after its discovery in 1925, the interest of a mathematical genius of von Neumann’s stature. As a result, the mathematical framework of the theory was developed and the formal aspects of its entirely novel rules of interpretation were analyzed by one single man in two years time (1927–1929). Conversely, one could almost say in reciprocity, quantum mechanics introduced von Neumann into a field of mathematical investigation, operator theory, in which he achieved some of his most prominent successes.
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