The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory. [1]
The book was originally published in German in 1932 by Julius Springer, under the title Mathematische Grundlagen der Quantenmechanik. [2] An English translation by Robert T. Beyer was published in 1955 by Princeton University Press. A Russian translation, edited by N. Bogolyubov, was published by Nauka in 1964. A new English edition, edited by Nicholas A. Wheeler, was published in 2018 by Princeton University Press. [3]
The book mainly summarizes results that von Neumann had published in earlier papers. [4] [5] [6] [7] [8] Its main significance may be its argument against the idea of hidden variables, on thermodynamic grounds.
Christian Felix Klein was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory. His 1872 Erlangen program, classifying geometries by their basic symmetry groups, was an influential synthesis of much of the mathematics of the time.
Gerhard Karl Erich Gentzen was a German mathematician and logician. He made major contributions to the foundations of mathematics, proof theory, especially on natural deduction and sequent calculus. He died of starvation in a Czech prison camp in Prague in 1945, having been interned as a German national after the Second World War.
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Grete Hermann was a German mathematician and philosopher noted for her work in mathematics, physics, philosophy and education. She is noted for her early philosophical work on the foundations of quantum mechanics, and is now known most of all for an early, but long-ignored critique of a "no hidden-variables theorem" by John von Neumann. It has been suggested that, had her critique not remained nearly unknown for decades, the historical development of quantum mechanics might have been very different.
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Felix Bernstein, was a German Jewish mathematician known for proving in 1896 the Schröder–Bernstein theorem, a central result in set theory, and less well known for demonstrating in 1924 the correct blood group inheritance pattern of multiple alleles at one locus through statistical analysis.
Eberhard Frederich Ferdinand Hopf was a mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made significant contributions to the subjects of partial differential equations and integral equations, fluid dynamics, and differential geometry. The Hopf maximum principle is an early result of his (1927) that is one of the most important techniques in the theory of elliptic partial differential equations.
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The Göttingen Academy of Sciences is the oldest continuously existing institution among the eight scientific academies in Germany, which are united under the umbrella of the Union of German Academies of Sciences and Humanities. It has the task of promoting research under its own auspices and in collaboration with academics in and outside Germany. It has its seat in the university town of Göttingen. Its meeting room is located in the auditorium of the University of Göttingen.
In differential geometry, Liouville's equation, named after Joseph Liouville, is the nonlinear partial differential equation satisfied by the conformal factor f of a metric f2(dx2 + dy2) on a surface of constant Gaussian curvature K:
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This is a bibliography of works by Theodore von Kármán.
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