Mathematical Foundations of Quantum Mechanics

Short description: Book by John von Neumann

The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory.[1]

## Contents

* 1 Publication history
* 2 Significance
* 3 See also
* 4 References
* 5 External links

## Publication history

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]

## Significance

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.

## See also

* Mathematical formulation of quantum mechanics
* Concepts and Methods

## References

1. ↑ Van Hove, Léon (1958). "Von Neumann's contributions to quantum theory". Bull. Amer. Math. Soc. 64 (3): 95–100. doi:10.1090/s0002-9904-1958-10206-2. http://projecteuclid.org/euclid.bams/1183522374.
2. ↑ Margenau, Henry (1933). "Book Review: Mathematische Grundlagen der Quantenmechanik". Bulletin of the American Mathematical Society 39 (7): 493–495. doi:10.1090/S0002-9904-1933-05665-3.
3. ↑ John von Neumann (2018). Nicholas A. Wheeler. ed. Mathematical Foundations of Quantum Mechanics. New Edition. Princeton University Press. ISBN 9781400889921. https://press.princeton.edu/titles/11352.html.
4. ↑ von Neumann, J. (1927). "Mathematische Begründung der Quantenmechanik [Mathematical Foundation of Quantum Mechanics]". Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 1–57.
5. ↑ von Neumann, J. (1927). "Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik [Probabilistic Theory of Quantum Mechanics]". Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse: 245–272.
6. ↑ von Neumann, J. (1927). "Thermodynamik quantenmechanischer Gesamtheiten [Thermodynamics of Quantum Mechanical Quantities]". Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse 102: 273–291.
7. ↑ von Neumann, J. (1929). "Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren [General Eigenvalue Theory of Hermitian Functional Operators]". Mathematische Annalen: 49–131.
8. ↑ von Neumann, J. (1931). "Die Eindeutigkeit der Schrödingerschen Operatoren [The uniqueness of Schrödinger operators]". Mathematische Annalen 104: 570–578. doi:10.1007/bf01457956.

## External links

* Full online text of the 1932 German edition (facsimile) at the University of Göttingen.

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