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Mathematical foundations of quantum mechanics

Author: John von Neumann; Nicholas A Wheeler
Publisher: Princeton : Princeton University Press : Princeton University Press, [2018] ©2018
Edition/Format:   eBook : Document : English : New edition
Summary:
Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published 'Mathematical Foundations of Quantum Mechanics', a revolutionary work that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John von Neumann; Nicholas A Wheeler
ISBN: 9781400889921 1400889928 0691178577 9780691178578 0691178569 9780691178561
OCLC Number: 1021172445
Description: 1 online resource
Contents: Machine generated contents note: ch. I Introductory Considerations --
1. Origin of the Transformation Theory --
2. Original Formulations of Quantum Mechanics --
3. Equivalence of the Two Theories: The Transformation Theory --
4. Equivalence of the Two Theories: Hilbert Space --
ch. II Abstract Hilbert Space --
1. Definition of Hilbert Space --
2. Geometry of Hilbert Space --
3. Digression on the Conditions A-E --
4. Closed Linear Manifolds --
5. Operators in Hilbert Space --
6. Eigenvalue Problem --
7. Continuation --
8. Initial Considerations Concerning the Eigenvalue Problem --
9. Digression on the Existence and Uniqueness of the Solutions of the Eigenvalue Problem --
10. Commutative Operators --
11. Trace --
ch. III Quantum Statistics --
1. Statistical Assertions of Quantum Mechanics --
2. Statistical Interpretation --
3. Simultaneous Measurability and Measurability in General --
4. Uncertainty Relations --
5. Projections as Propositions --
6. Radiation Theory --
ch. IV Deductive Development of the Theory --
1. Fundamental Basis of the Statistical Theory --
2. Proof of the Statistical Formulas --
3. Conclusions from Experiments --
ch. V General Considerations --
1. Measurement and Reversibility --
2. Thermodynamic Considerations --
3. Reversibility and Equilibrium Problems --
4. Macroscopic Measurement --
ch. VI Measuring Process --
1. Formulation of the Problem --
2. Composite Systems --
3. Discussion of the Measuring Process.
Responsibility: by John von Neumann ; translated from the German by Robert T. Beyer ; edited by Nicholas A. Wheeler.

Abstract:

Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published 'Mathematical Foundations of Quantum Mechanics', a revolutionary work that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. This new edition of this classic work has been completely reset in TeX, making the text and equations far easier to read.

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"The new edition is easier [to] read and to comprehend, and the editor thinks it will inspire the work of future generations of physicists."---K. E. Hellwig, Zentralblatt MATH "Lovely. . . . For Read more...

 
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